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Finding the Fourth Proportional to 1,510.23, 2,084.08 and 872.17

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Solution

The fourth proportional to 1,510.23, 2,084.08 and 872.17 is: 1,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.23 : 2,084.08 = 872.17 : x
  2. Step 2: Convert to fraction form
    1,510.23/2,084.08 = 872.17/x
  3. Step 3: Cross multiply
    1,510.23x = 2,084.08 × 872.17
  4. Step 4: Simplify right side
    1,510.23x = 1,817,666.30
  5. Step 5: Solve for x
    x = 1,817,666.30/1,510.23
  6. Step 6: Final answer
    x = 1,203.57

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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.