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Finding the Fourth Proportional to 2,702.07, 3,728.87 and 1,523.16

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Solution

The fourth proportional to 2,702.07, 3,728.87 and 1,523.16 is: 2,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.07 : 3,728.87 = 1,523.16 : x
  2. Step 2: Convert to fraction form
    2,702.07/3,728.87 = 1,523.16/x
  3. Step 3: Cross multiply
    2,702.07x = 3,728.87 × 1,523.16
  4. Step 4: Simplify right side
    2,702.07x = 5,679,658.01
  5. Step 5: Solve for x
    x = 5,679,658.01/2,702.07
  6. Step 6: Final answer
    x = 2,101.97

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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.