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Finding the Fourth Proportional to 2,409.48, 3,614.16 and 1,023.76

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Solution

The fourth proportional to 2,409.48, 3,614.16 and 1,023.76 is: 1,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.48 : 3,614.16 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    2,409.48/3,614.16 = 1,023.76/x
  3. Step 3: Cross multiply
    2,409.48x = 3,614.16 × 1,023.76
  4. Step 4: Simplify right side
    2,409.48x = 3,700,032.44
  5. Step 5: Solve for x
    x = 3,700,032.44/2,409.48
  6. Step 6: Final answer
    x = 1,535.61

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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.