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Finding the Fourth Proportional to 2,702.17, 3,729.18 and 1,654.39

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Solution

The fourth proportional to 2,702.17, 3,729.18 and 1,654.39 is: 2,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.17 : 3,729.18 = 1,654.39 : x
  2. Step 2: Convert to fraction form
    2,702.17/3,729.18 = 1,654.39/x
  3. Step 3: Cross multiply
    2,702.17x = 3,729.18 × 1,654.39
  4. Step 4: Simplify right side
    2,702.17x = 6,169,518.10
  5. Step 5: Solve for x
    x = 6,169,518.10/2,702.17
  6. Step 6: Final answer
    x = 2,283.17

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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.