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Finding the Fourth Proportional to 2,435.28, 3,651.39 and 972.78

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Solution

The fourth proportional to 2,435.28, 3,651.39 and 972.78 is: 1,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.28 : 3,651.39 = 972.78 : x
  2. Step 2: Convert to fraction form
    2,435.28/3,651.39 = 972.78/x
  3. Step 3: Cross multiply
    2,435.28x = 3,651.39 × 972.78
  4. Step 4: Simplify right side
    2,435.28x = 3,551,999.16
  5. Step 5: Solve for x
    x = 3,551,999.16/2,435.28
  6. Step 6: Final answer
    x = 1,458.56

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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.