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Finding the Fourth Proportional to 2,459.27, 3,691.55 and 1,420.27

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Solution

The fourth proportional to 2,459.27, 3,691.55 and 1,420.27 is: 2,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.27 : 3,691.55 = 1,420.27 : x
  2. Step 2: Convert to fraction form
    2,459.27/3,691.55 = 1,420.27/x
  3. Step 3: Cross multiply
    2,459.27x = 3,691.55 × 1,420.27
  4. Step 4: Simplify right side
    2,459.27x = 5,243,003.62
  5. Step 5: Solve for x
    x = 5,243,003.62/2,459.27
  6. Step 6: Final answer
    x = 2,131.93

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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.