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Finding the Fourth Proportional to 2,124.46, 3,179.15 and 1,567.84

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Solution

The fourth proportional to 2,124.46, 3,179.15 and 1,567.84 is: 2,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.46 : 3,179.15 = 1,567.84 : x
  2. Step 2: Convert to fraction form
    2,124.46/3,179.15 = 1,567.84/x
  3. Step 3: Cross multiply
    2,124.46x = 3,179.15 × 1,567.84
  4. Step 4: Simplify right side
    2,124.46x = 4,984,398.54
  5. Step 5: Solve for x
    x = 4,984,398.54/2,124.46
  6. Step 6: Final answer
    x = 2,346.20

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