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Finding the Fourth Proportional to 1,948.40, 2,689.12 and 1,162.88

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Solution

The fourth proportional to 1,948.40, 2,689.12 and 1,162.88 is: 1,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.40 : 2,689.12 = 1,162.88 : x
  2. Step 2: Convert to fraction form
    1,948.40/2,689.12 = 1,162.88/x
  3. Step 3: Cross multiply
    1,948.40x = 2,689.12 × 1,162.88
  4. Step 4: Simplify right side
    1,948.40x = 3,127,123.87
  5. Step 5: Solve for x
    x = 3,127,123.87/1,948.40
  6. Step 6: Final answer
    x = 1,604.97

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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.