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Finding the Fourth Proportional to 2,734.33, 4,102.15 and 885.45

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Solution

The fourth proportional to 2,734.33, 4,102.15 and 885.45 is: 1,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.33 : 4,102.15 = 885.45 : x
  2. Step 2: Convert to fraction form
    2,734.33/4,102.15 = 885.45/x
  3. Step 3: Cross multiply
    2,734.33x = 4,102.15 × 885.45
  4. Step 4: Simplify right side
    2,734.33x = 3,632,248.16
  5. Step 5: Solve for x
    x = 3,632,248.16/2,734.33
  6. Step 6: Final answer
    x = 1,328.39

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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.