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Finding the Fourth Proportional to 2,780.57, 4,171.52 and 931.69

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Solution

The fourth proportional to 2,780.57, 4,171.52 and 931.69 is: 1,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.57 : 4,171.52 = 931.69 : x
  2. Step 2: Convert to fraction form
    2,780.57/4,171.52 = 931.69/x
  3. Step 3: Cross multiply
    2,780.57x = 4,171.52 × 931.69
  4. Step 4: Simplify right side
    2,780.57x = 3,886,551.88
  5. Step 5: Solve for x
    x = 3,886,551.88/2,780.57
  6. Step 6: Final answer
    x = 1,397.76

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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.