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Finding the Fourth Proportional to 3,123.52, 4,682.40 and 1,174.39

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Solution

The fourth proportional to 3,123.52, 4,682.40 and 1,174.39 is: 1,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.52 : 4,682.40 = 1,174.39 : x
  2. Step 2: Convert to fraction form
    3,123.52/4,682.40 = 1,174.39/x
  3. Step 3: Cross multiply
    3,123.52x = 4,682.40 × 1,174.39
  4. Step 4: Simplify right side
    3,123.52x = 5,498,963.74
  5. Step 5: Solve for x
    x = 5,498,963.74/3,123.52
  6. Step 6: Final answer
    x = 1,760.50

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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.