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Finding the Fourth Proportional to 2,932.76, 4,390.62 and 2,281.52

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Solution

The fourth proportional to 2,932.76, 4,390.62 and 2,281.52 is: 3,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.76 : 4,390.62 = 2,281.52 : x
  2. Step 2: Convert to fraction form
    2,932.76/4,390.62 = 2,281.52/x
  3. Step 3: Cross multiply
    2,932.76x = 4,390.62 × 2,281.52
  4. Step 4: Simplify right side
    2,932.76x = 10,017,265.39
  5. Step 5: Solve for x
    x = 10,017,265.39/2,932.76
  6. Step 6: Final answer
    x = 3,415.65

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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.