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Finding the Fourth Proportional to 2,702.23, 3,729.11 and 1,654.29

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Solution

The fourth proportional to 2,702.23, 3,729.11 and 1,654.29 is: 2,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.23 : 3,729.11 = 1,654.29 : x
  2. Step 2: Convert to fraction form
    2,702.23/3,729.11 = 1,654.29/x
  3. Step 3: Cross multiply
    2,702.23x = 3,729.11 × 1,654.29
  4. Step 4: Simplify right side
    2,702.23x = 6,169,033.52
  5. Step 5: Solve for x
    x = 6,169,033.52/2,702.23
  6. Step 6: Final answer
    x = 2,282.94

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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.