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Finding the Fourth Proportional to 2,702.79, 3,728.91 and 1,523.61

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Solution

The fourth proportional to 2,702.79, 3,728.91 and 1,523.61 is: 2,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.79 : 3,728.91 = 1,523.61 : x
  2. Step 2: Convert to fraction form
    2,702.79/3,728.91 = 1,523.61/x
  3. Step 3: Cross multiply
    2,702.79x = 3,728.91 × 1,523.61
  4. Step 4: Simplify right side
    2,702.79x = 5,681,404.57
  5. Step 5: Solve for x
    x = 5,681,404.57/2,702.79
  6. Step 6: Final answer
    x = 2,102.05

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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.