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Finding the Fourth Proportional to 2,565.92, 3,822.40 and 2,406.56

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Solution

The fourth proportional to 2,565.92, 3,822.40 and 2,406.56 is: 3,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.92 : 3,822.40 = 2,406.56 : x
  2. Step 2: Convert to fraction form
    2,565.92/3,822.40 = 2,406.56/x
  3. Step 3: Cross multiply
    2,565.92x = 3,822.40 × 2,406.56
  4. Step 4: Simplify right side
    2,565.92x = 9,198,834.94
  5. Step 5: Solve for x
    x = 9,198,834.94/2,565.92
  6. Step 6: Final answer
    x = 3,585.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.