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Finding the Fourth Proportional to 1,939.40, 2,909.06 and 478.56

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Solution

The fourth proportional to 1,939.40, 2,909.06 and 478.56 is: 717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.40 : 2,909.06 = 478.56 : x
  2. Step 2: Convert to fraction form
    1,939.40/2,909.06 = 478.56/x
  3. Step 3: Cross multiply
    1,939.40x = 2,909.06 × 478.56
  4. Step 4: Simplify right side
    1,939.40x = 1,392,159.75
  5. Step 5: Solve for x
    x = 1,392,159.75/1,939.40
  6. Step 6: Final answer
    x = 717.83

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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.