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Finding the Fourth Proportional to 2,394.12, 3,304.19 and 1,399.78

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Solution

The fourth proportional to 2,394.12, 3,304.19 and 1,399.78 is: 1,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.12 : 3,304.19 = 1,399.78 : x
  2. Step 2: Convert to fraction form
    2,394.12/3,304.19 = 1,399.78/x
  3. Step 3: Cross multiply
    2,394.12x = 3,304.19 × 1,399.78
  4. Step 4: Simplify right side
    2,394.12x = 4,625,146.71
  5. Step 5: Solve for x
    x = 4,625,146.71/2,394.12
  6. Step 6: Final answer
    x = 1,931.87

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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.