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Finding the Fourth Proportional to 2,548.95, 3,517.26 and 1,429.74

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Solution

The fourth proportional to 2,548.95, 3,517.26 and 1,429.74 is: 1,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.95 : 3,517.26 = 1,429.74 : x
  2. Step 2: Convert to fraction form
    2,548.95/3,517.26 = 1,429.74/x
  3. Step 3: Cross multiply
    2,548.95x = 3,517.26 × 1,429.74
  4. Step 4: Simplify right side
    2,548.95x = 5,028,767.31
  5. Step 5: Solve for x
    x = 5,028,767.31/2,548.95
  6. Step 6: Final answer
    x = 1,972.88

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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.