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Finding the Fourth Proportional to 1,510.75, 2,084.12 and 1,068.90

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Solution

The fourth proportional to 1,510.75, 2,084.12 and 1,068.90 is: 1,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.75 : 2,084.12 = 1,068.90 : x
  2. Step 2: Convert to fraction form
    1,510.75/2,084.12 = 1,068.90/x
  3. Step 3: Cross multiply
    1,510.75x = 2,084.12 × 1,068.90
  4. Step 4: Simplify right side
    1,510.75x = 2,227,715.87
  5. Step 5: Solve for x
    x = 2,227,715.87/1,510.75
  6. Step 6: Final answer
    x = 1,474.58

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.