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Finding the Fourth Proportional to 1,930.40, 2,663.94 and 1,046.20

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Solution

The fourth proportional to 1,930.40, 2,663.94 and 1,046.20 is: 1,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.40 : 2,663.94 = 1,046.20 : x
  2. Step 2: Convert to fraction form
    1,930.40/2,663.94 = 1,046.20/x
  3. Step 3: Cross multiply
    1,930.40x = 2,663.94 × 1,046.20
  4. Step 4: Simplify right side
    1,930.40x = 2,787,016.29
  5. Step 5: Solve for x
    x = 2,787,016.29/1,930.40
  6. Step 6: Final answer
    x = 1,443.75

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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.