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Finding the Fourth Proportional to 2,635.91, 3,952.92 and 904.13

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Solution

The fourth proportional to 2,635.91, 3,952.92 and 904.13 is: 1,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.91 : 3,952.92 = 904.13 : x
  2. Step 2: Convert to fraction form
    2,635.91/3,952.92 = 904.13/x
  3. Step 3: Cross multiply
    2,635.91x = 3,952.92 × 904.13
  4. Step 4: Simplify right side
    2,635.91x = 3,573,953.56
  5. Step 5: Solve for x
    x = 3,573,953.56/2,635.91
  6. Step 6: Final answer
    x = 1,355.87

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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.