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Finding the Fourth Proportional to 3,114.52, 4,670.24 and 1,358.76

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Solution

The fourth proportional to 3,114.52, 4,670.24 and 1,358.76 is: 2,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.52 : 4,670.24 = 1,358.76 : x
  2. Step 2: Convert to fraction form
    3,114.52/4,670.24 = 1,358.76/x
  3. Step 3: Cross multiply
    3,114.52x = 4,670.24 × 1,358.76
  4. Step 4: Simplify right side
    3,114.52x = 6,345,753.67
  5. Step 5: Solve for x
    x = 6,345,753.67/3,114.52
  6. Step 6: Final answer
    x = 2,037.47

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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.