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Finding the Fourth Proportional to 2,392.54, 3,301.50 and 1,397.70

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Solution

The fourth proportional to 2,392.54, 3,301.50 and 1,397.70 is: 1,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.54 : 3,301.50 = 1,397.70 : x
  2. Step 2: Convert to fraction form
    2,392.54/3,301.50 = 1,397.70/x
  3. Step 3: Cross multiply
    2,392.54x = 3,301.50 × 1,397.70
  4. Step 4: Simplify right side
    2,392.54x = 4,614,506.55
  5. Step 5: Solve for x
    x = 4,614,506.55/2,392.54
  6. Step 6: Final answer
    x = 1,928.71

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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.