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Finding the Fourth Proportional to 2,548.67, 3,517.14 and 1,429.66

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Solution

The fourth proportional to 2,548.67, 3,517.14 and 1,429.66 is: 1,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.67 : 3,517.14 = 1,429.66 : x
  2. Step 2: Convert to fraction form
    2,548.67/3,517.14 = 1,429.66/x
  3. Step 3: Cross multiply
    2,548.67x = 3,517.14 × 1,429.66
  4. Step 4: Simplify right side
    2,548.67x = 5,028,314.37
  5. Step 5: Solve for x
    x = 5,028,314.37/2,548.67
  6. Step 6: Final answer
    x = 1,972.92

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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.