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Finding the Fourth Proportional to 1,742, 2,614.36 and 1,049.44

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Solution

The fourth proportional to 1,742, 2,614.36 and 1,049.44 is: 1,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,614.36 = 1,049.44 : x
  2. Step 2: Convert to fraction form
    1,742/2,614.36 = 1,049.44/x
  3. Step 3: Cross multiply
    1,742x = 2,614.36 × 1,049.44
  4. Step 4: Simplify right side
    1,742x = 2,743,613.96
  5. Step 5: Solve for x
    x = 2,743,613.96/1,742
  6. Step 6: Final answer
    x = 1,574.98

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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.