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Finding the Fourth Proportional to 2,321.82, 3,482.61 and 761.62

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Solution

The fourth proportional to 2,321.82, 3,482.61 and 761.62 is: 1,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.82 : 3,482.61 = 761.62 : x
  2. Step 2: Convert to fraction form
    2,321.82/3,482.61 = 761.62/x
  3. Step 3: Cross multiply
    2,321.82x = 3,482.61 × 761.62
  4. Step 4: Simplify right side
    2,321.82x = 2,652,414.58
  5. Step 5: Solve for x
    x = 2,652,414.58/2,321.82
  6. Step 6: Final answer
    x = 1,142.39

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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.