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Finding the Fourth Proportional to 2,597.97, 3,898.02 and 955.90

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Solution

The fourth proportional to 2,597.97, 3,898.02 and 955.90 is: 1,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.97 : 3,898.02 = 955.90 : x
  2. Step 2: Convert to fraction form
    2,597.97/3,898.02 = 955.90/x
  3. Step 3: Cross multiply
    2,597.97x = 3,898.02 × 955.90
  4. Step 4: Simplify right side
    2,597.97x = 3,726,125.78
  5. Step 5: Solve for x
    x = 3,726,125.78/2,597.97
  6. Step 6: Final answer
    x = 1,434.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.