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Finding the Fourth Proportional to 1,780.67, 2,672.72 and 856.86

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Solution

The fourth proportional to 1,780.67, 2,672.72 and 856.86 is: 1,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.67 : 2,672.72 = 856.86 : x
  2. Step 2: Convert to fraction form
    1,780.67/2,672.72 = 856.86/x
  3. Step 3: Cross multiply
    1,780.67x = 2,672.72 × 856.86
  4. Step 4: Simplify right side
    1,780.67x = 2,290,146.86
  5. Step 5: Solve for x
    x = 2,290,146.86/1,780.67
  6. Step 6: Final answer
    x = 1,286.12

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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.