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Finding the Fourth Proportional to 2,463.80, 3,695.70 and 2,357.15

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Solution

The fourth proportional to 2,463.80, 3,695.70 and 2,357.15 is: 3,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.80 : 3,695.70 = 2,357.15 : x
  2. Step 2: Convert to fraction form
    2,463.80/3,695.70 = 2,357.15/x
  3. Step 3: Cross multiply
    2,463.80x = 3,695.70 × 2,357.15
  4. Step 4: Simplify right side
    2,463.80x = 8,711,319.26
  5. Step 5: Solve for x
    x = 8,711,319.26/2,463.80
  6. Step 6: Final answer
    x = 3,535.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.