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Finding the Fourth Proportional to 1,539.29, 2,124.15 and 949.88

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Solution

The fourth proportional to 1,539.29, 2,124.15 and 949.88 is: 1,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.29 : 2,124.15 = 949.88 : x
  2. Step 2: Convert to fraction form
    1,539.29/2,124.15 = 949.88/x
  3. Step 3: Cross multiply
    1,539.29x = 2,124.15 × 949.88
  4. Step 4: Simplify right side
    1,539.29x = 2,017,687.60
  5. Step 5: Solve for x
    x = 2,017,687.60/1,539.29
  6. Step 6: Final answer
    x = 1,310.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.