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Finding the Fourth Proportional to 2,332.76, 3,220.54 and 1,538.39

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Solution

The fourth proportional to 2,332.76, 3,220.54 and 1,538.39 is: 2,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.76 : 3,220.54 = 1,538.39 : x
  2. Step 2: Convert to fraction form
    2,332.76/3,220.54 = 1,538.39/x
  3. Step 3: Cross multiply
    2,332.76x = 3,220.54 × 1,538.39
  4. Step 4: Simplify right side
    2,332.76x = 4,954,422.74
  5. Step 5: Solve for x
    x = 4,954,422.74/2,332.76
  6. Step 6: Final answer
    x = 2,123.85

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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.