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Finding the Fourth Proportional to 1,776.38, 2,660.67 and 1,464.72

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Solution

The fourth proportional to 1,776.38, 2,660.67 and 1,464.72 is: 2,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.38 : 2,660.67 = 1,464.72 : x
  2. Step 2: Convert to fraction form
    1,776.38/2,660.67 = 1,464.72/x
  3. Step 3: Cross multiply
    1,776.38x = 2,660.67 × 1,464.72
  4. Step 4: Simplify right side
    1,776.38x = 3,897,136.56
  5. Step 5: Solve for x
    x = 3,897,136.56/1,776.38
  6. Step 6: Final answer
    x = 2,193.87

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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.