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Finding the Fourth Proportional to 2,516.39, 3,472.68 and 1,397.37

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Solution

The fourth proportional to 2,516.39, 3,472.68 and 1,397.37 is: 1,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.39 : 3,472.68 = 1,397.37 : x
  2. Step 2: Convert to fraction form
    2,516.39/3,472.68 = 1,397.37/x
  3. Step 3: Cross multiply
    2,516.39x = 3,472.68 × 1,397.37
  4. Step 4: Simplify right side
    2,516.39x = 4,852,637.11
  5. Step 5: Solve for x
    x = 4,852,637.11/2,516.39
  6. Step 6: Final answer
    x = 1,928.41

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Why These Related Problems?

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