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Finding the Fourth Proportional to 1,510.74, 2,084.67 and 847.45

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Solution

The fourth proportional to 1,510.74, 2,084.67 and 847.45 is: 1,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.74 : 2,084.67 = 847.45 : x
  2. Step 2: Convert to fraction form
    1,510.74/2,084.67 = 847.45/x
  3. Step 3: Cross multiply
    1,510.74x = 2,084.67 × 847.45
  4. Step 4: Simplify right side
    1,510.74x = 1,766,653.59
  5. Step 5: Solve for x
    x = 1,766,653.59/1,510.74
  6. Step 6: Final answer
    x = 1,169.40

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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.