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Finding the Fourth Proportional to 1,425.85, 1,967.14 and 1,248.76

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Solution

The fourth proportional to 1,425.85, 1,967.14 and 1,248.76 is: 1,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.85 : 1,967.14 = 1,248.76 : x
  2. Step 2: Convert to fraction form
    1,425.85/1,967.14 = 1,248.76/x
  3. Step 3: Cross multiply
    1,425.85x = 1,967.14 × 1,248.76
  4. Step 4: Simplify right side
    1,425.85x = 2,456,485.75
  5. Step 5: Solve for x
    x = 2,456,485.75/1,425.85
  6. Step 6: Final answer
    x = 1,722.82

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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.