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Finding the Fourth Proportional to 2,780.87, 4,170.45 and 931.57

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Solution

The fourth proportional to 2,780.87, 4,170.45 and 931.57 is: 1,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.87 : 4,170.45 = 931.57 : x
  2. Step 2: Convert to fraction form
    2,780.87/4,170.45 = 931.57/x
  3. Step 3: Cross multiply
    2,780.87x = 4,170.45 × 931.57
  4. Step 4: Simplify right side
    2,780.87x = 3,885,059.17
  5. Step 5: Solve for x
    x = 3,885,059.17/2,780.87
  6. Step 6: Final answer
    x = 1,397.07

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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.