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Finding the Fourth Proportional to 2,371.64, 3,557.96 and 811.52

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Solution

The fourth proportional to 2,371.64, 3,557.96 and 811.52 is: 1,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.64 : 3,557.96 = 811.52 : x
  2. Step 2: Convert to fraction form
    2,371.64/3,557.96 = 811.52/x
  3. Step 3: Cross multiply
    2,371.64x = 3,557.96 × 811.52
  4. Step 4: Simplify right side
    2,371.64x = 2,887,355.70
  5. Step 5: Solve for x
    x = 2,887,355.70/2,371.64
  6. Step 6: Final answer
    x = 1,217.45

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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.