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Finding the Fourth Proportional to 1,780.38, 2,666.67 and 1,468.72

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Solution

The fourth proportional to 1,780.38, 2,666.67 and 1,468.72 is: 2,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.38 : 2,666.67 = 1,468.72 : x
  2. Step 2: Convert to fraction form
    1,780.38/2,666.67 = 1,468.72/x
  3. Step 3: Cross multiply
    1,780.38x = 2,666.67 × 1,468.72
  4. Step 4: Simplify right side
    1,780.38x = 3,916,591.56
  5. Step 5: Solve for x
    x = 3,916,591.56/1,780.38
  6. Step 6: Final answer
    x = 2,199.86

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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.