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Finding the Fourth Proportional to 1,802.35, 2,702.01 and 763.17

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Solution

The fourth proportional to 1,802.35, 2,702.01 and 763.17 is: 1,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.35 : 2,702.01 = 763.17 : x
  2. Step 2: Convert to fraction form
    1,802.35/2,702.01 = 763.17/x
  3. Step 3: Cross multiply
    1,802.35x = 2,702.01 × 763.17
  4. Step 4: Simplify right side
    1,802.35x = 2,062,092.97
  5. Step 5: Solve for x
    x = 2,062,092.97/1,802.35
  6. Step 6: Final answer
    x = 1,144.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.