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Finding the Fourth Proportional to 1,538.12, 2,305.02 and 887.96

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Solution

The fourth proportional to 1,538.12, 2,305.02 and 887.96 is: 1,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.12 : 2,305.02 = 887.96 : x
  2. Step 2: Convert to fraction form
    1,538.12/2,305.02 = 887.96/x
  3. Step 3: Cross multiply
    1,538.12x = 2,305.02 × 887.96
  4. Step 4: Simplify right side
    1,538.12x = 2,046,765.56
  5. Step 5: Solve for x
    x = 2,046,765.56/1,538.12
  6. Step 6: Final answer
    x = 1,330.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.