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Finding the Fourth Proportional to 2,702.08, 3,727.02 and 1,654.66

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Solution

The fourth proportional to 2,702.08, 3,727.02 and 1,654.66 is: 2,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.08 : 3,727.02 = 1,654.66 : x
  2. Step 2: Convert to fraction form
    2,702.08/3,727.02 = 1,654.66/x
  3. Step 3: Cross multiply
    2,702.08x = 3,727.02 × 1,654.66
  4. Step 4: Simplify right side
    2,702.08x = 6,166,950.91
  5. Step 5: Solve for x
    x = 6,166,950.91/2,702.08
  6. Step 6: Final answer
    x = 2,282.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.