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Finding the Fourth Proportional to 3,184.40, 4,394.40 and 1,787.24

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Solution

The fourth proportional to 3,184.40, 4,394.40 and 1,787.24 is: 2,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.40 : 4,394.40 = 1,787.24 : x
  2. Step 2: Convert to fraction form
    3,184.40/4,394.40 = 1,787.24/x
  3. Step 3: Cross multiply
    3,184.40x = 4,394.40 × 1,787.24
  4. Step 4: Simplify right side
    3,184.40x = 7,853,847.46
  5. Step 5: Solve for x
    x = 7,853,847.46/3,184.40
  6. Step 6: Final answer
    x = 2,466.35

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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.