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Finding the Fourth Proportional to 2,407.76, 3,610.56 and 1,022.16

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Solution

The fourth proportional to 2,407.76, 3,610.56 and 1,022.16 is: 1,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.76 : 3,610.56 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    2,407.76/3,610.56 = 1,022.16/x
  3. Step 3: Cross multiply
    2,407.76x = 3,610.56 × 1,022.16
  4. Step 4: Simplify right side
    2,407.76x = 3,690,570.01
  5. Step 5: Solve for x
    x = 3,690,570.01/2,407.76
  6. Step 6: Final answer
    x = 1,532.78

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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.