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Finding the Fourth Proportional to 2,702.46, 3,728.73 and 1,523.10

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Solution

The fourth proportional to 2,702.46, 3,728.73 and 1,523.10 is: 2,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.46 : 3,728.73 = 1,523.10 : x
  2. Step 2: Convert to fraction form
    2,702.46/3,728.73 = 1,523.10/x
  3. Step 3: Cross multiply
    2,702.46x = 3,728.73 × 1,523.10
  4. Step 4: Simplify right side
    2,702.46x = 5,679,228.66
  5. Step 5: Solve for x
    x = 5,679,228.66/2,702.46
  6. Step 6: Final answer
    x = 2,101.50

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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.