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Finding the Fourth Proportional to 3,184.38, 4,394.34 and 1,787.14

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Solution

The fourth proportional to 3,184.38, 4,394.34 and 1,787.14 is: 2,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.38 : 4,394.34 = 1,787.14 : x
  2. Step 2: Convert to fraction form
    3,184.38/4,394.34 = 1,787.14/x
  3. Step 3: Cross multiply
    3,184.38x = 4,394.34 × 1,787.14
  4. Step 4: Simplify right side
    3,184.38x = 7,853,300.79
  5. Step 5: Solve for x
    x = 7,853,300.79/3,184.38
  6. Step 6: Final answer
    x = 2,466.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.