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Finding the Fourth Proportional to 3,184.44, 4,394.10 and 1,787.16

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Solution

The fourth proportional to 3,184.44, 4,394.10 and 1,787.16 is: 2,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.44 : 4,394.10 = 1,787.16 : x
  2. Step 2: Convert to fraction form
    3,184.44/4,394.10 = 1,787.16/x
  3. Step 3: Cross multiply
    3,184.44x = 4,394.10 × 1,787.16
  4. Step 4: Simplify right side
    3,184.44x = 7,852,959.76
  5. Step 5: Solve for x
    x = 7,852,959.76/3,184.44
  6. Step 6: Final answer
    x = 2,466.04

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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.