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Finding the Fourth Proportional to 2,508.86, 3,462.48 and 1,461.14

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Solution

The fourth proportional to 2,508.86, 3,462.48 and 1,461.14 is: 2,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.86 : 3,462.48 = 1,461.14 : x
  2. Step 2: Convert to fraction form
    2,508.86/3,462.48 = 1,461.14/x
  3. Step 3: Cross multiply
    2,508.86x = 3,462.48 × 1,461.14
  4. Step 4: Simplify right side
    2,508.86x = 5,059,168.03
  5. Step 5: Solve for x
    x = 5,059,168.03/2,508.86
  6. Step 6: Final answer
    x = 2,016.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.