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Finding the Fourth Proportional to 2,780.59, 4,171.45 and 931.66

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Solution

The fourth proportional to 2,780.59, 4,171.45 and 931.66 is: 1,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.59 : 4,171.45 = 931.66 : x
  2. Step 2: Convert to fraction form
    2,780.59/4,171.45 = 931.66/x
  3. Step 3: Cross multiply
    2,780.59x = 4,171.45 × 931.66
  4. Step 4: Simplify right side
    2,780.59x = 3,886,360.35
  5. Step 5: Solve for x
    x = 3,886,360.35/2,780.59
  6. Step 6: Final answer
    x = 1,397.68

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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.