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Finding the Fourth Proportional to 3,184.50, 4,394.64 and 1,787.28

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Solution

The fourth proportional to 3,184.50, 4,394.64 and 1,787.28 is: 2,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.50 : 4,394.64 = 1,787.28 : x
  2. Step 2: Convert to fraction form
    3,184.50/4,394.64 = 1,787.28/x
  3. Step 3: Cross multiply
    3,184.50x = 4,394.64 × 1,787.28
  4. Step 4: Simplify right side
    3,184.50x = 7,854,452.18
  5. Step 5: Solve for x
    x = 7,854,452.18/3,184.50
  6. Step 6: Final answer
    x = 2,466.46

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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.