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Finding the Fourth Proportional to 2,516.75, 3,473.07 and 1,397.64

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Solution

The fourth proportional to 2,516.75, 3,473.07 and 1,397.64 is: 1,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.75 : 3,473.07 = 1,397.64 : x
  2. Step 2: Convert to fraction form
    2,516.75/3,473.07 = 1,397.64/x
  3. Step 3: Cross multiply
    2,516.75x = 3,473.07 × 1,397.64
  4. Step 4: Simplify right side
    2,516.75x = 4,854,101.55
  5. Step 5: Solve for x
    x = 4,854,101.55/2,516.75
  6. Step 6: Final answer
    x = 1,928.72

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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.