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Finding the Fourth Proportional to 3,314.72, 4,973.01 and 1,123.61

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Solution

The fourth proportional to 3,314.72, 4,973.01 and 1,123.61 is: 1,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.72 : 4,973.01 = 1,123.61 : x
  2. Step 2: Convert to fraction form
    3,314.72/4,973.01 = 1,123.61/x
  3. Step 3: Cross multiply
    3,314.72x = 4,973.01 × 1,123.61
  4. Step 4: Simplify right side
    3,314.72x = 5,587,718.15
  5. Step 5: Solve for x
    x = 5,587,718.15/3,314.72
  6. Step 6: Final answer
    x = 1,685.73

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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.