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Finding the Fourth Proportional to 2,508.71, 3,462.05 and 1,460.75

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Solution

The fourth proportional to 2,508.71, 3,462.05 and 1,460.75 is: 2,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.71 : 3,462.05 = 1,460.75 : x
  2. Step 2: Convert to fraction form
    2,508.71/3,462.05 = 1,460.75/x
  3. Step 3: Cross multiply
    2,508.71x = 3,462.05 × 1,460.75
  4. Step 4: Simplify right side
    2,508.71x = 5,057,189.54
  5. Step 5: Solve for x
    x = 5,057,189.54/2,508.71
  6. Step 6: Final answer
    x = 2,015.85

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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.