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Finding the Fourth Proportional to 2,516.81, 3,473.15 and 1,397.72

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Solution

The fourth proportional to 2,516.81, 3,473.15 and 1,397.72 is: 1,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.81 : 3,473.15 = 1,397.72 : x
  2. Step 2: Convert to fraction form
    2,516.81/3,473.15 = 1,397.72/x
  3. Step 3: Cross multiply
    2,516.81x = 3,473.15 × 1,397.72
  4. Step 4: Simplify right side
    2,516.81x = 4,854,492.91
  5. Step 5: Solve for x
    x = 4,854,492.91/2,516.81
  6. Step 6: Final answer
    x = 1,928.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.