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Finding the Fourth Proportional to 3,341.32, 5,012.31 and 1,149.76

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Solution

The fourth proportional to 3,341.32, 5,012.31 and 1,149.76 is: 1,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.32 : 5,012.31 = 1,149.76 : x
  2. Step 2: Convert to fraction form
    3,341.32/5,012.31 = 1,149.76/x
  3. Step 3: Cross multiply
    3,341.32x = 5,012.31 × 1,149.76
  4. Step 4: Simplify right side
    3,341.32x = 5,762,953.55
  5. Step 5: Solve for x
    x = 5,762,953.55/3,341.32
  6. Step 6: Final answer
    x = 1,724.75

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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.