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Finding the Fourth Proportional to 1,743.86, 2,614.47 and 866.72

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Solution

The fourth proportional to 1,743.86, 2,614.47 and 866.72 is: 1,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.86 : 2,614.47 = 866.72 : x
  2. Step 2: Convert to fraction form
    1,743.86/2,614.47 = 866.72/x
  3. Step 3: Cross multiply
    1,743.86x = 2,614.47 × 866.72
  4. Step 4: Simplify right side
    1,743.86x = 2,266,013.44
  5. Step 5: Solve for x
    x = 2,266,013.44/1,743.86
  6. Step 6: Final answer
    x = 1,299.42

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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.