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Finding the Fourth Proportional to 1,548.12, 2,134.98 and 958.44

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Solution

The fourth proportional to 1,548.12, 2,134.98 and 958.44 is: 1,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.12 : 2,134.98 = 958.44 : x
  2. Step 2: Convert to fraction form
    1,548.12/2,134.98 = 958.44/x
  3. Step 3: Cross multiply
    1,548.12x = 2,134.98 × 958.44
  4. Step 4: Simplify right side
    1,548.12x = 2,046,250.23
  5. Step 5: Solve for x
    x = 2,046,250.23/1,548.12
  6. Step 6: Final answer
    x = 1,321.76

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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.