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Finding the Fourth Proportional to 2,691.42, 4,038.81 and 1,459.68

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Solution

The fourth proportional to 2,691.42, 4,038.81 and 1,459.68 is: 2,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.42 : 4,038.81 = 1,459.68 : x
  2. Step 2: Convert to fraction form
    2,691.42/4,038.81 = 1,459.68/x
  3. Step 3: Cross multiply
    2,691.42x = 4,038.81 × 1,459.68
  4. Step 4: Simplify right side
    2,691.42x = 5,895,370.18
  5. Step 5: Solve for x
    x = 5,895,370.18/2,691.42
  6. Step 6: Final answer
    x = 2,190.43

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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.