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Finding the Fourth Proportional to 4,432.49, 6,648.50 and 1,354.25

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Solution

The fourth proportional to 4,432.49, 6,648.50 and 1,354.25 is: 2,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.49 : 6,648.50 = 1,354.25 : x
  2. Step 2: Convert to fraction form
    4,432.49/6,648.50 = 1,354.25/x
  3. Step 3: Cross multiply
    4,432.49x = 6,648.50 × 1,354.25
  4. Step 4: Simplify right side
    4,432.49x = 9,003,724.35
  5. Step 5: Solve for x
    x = 9,003,724.35/4,432.49
  6. Step 6: Final answer
    x = 2,031.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.