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Finding the Fourth Proportional to 2,734.34, 4,102.14 and 885.58

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Solution

The fourth proportional to 2,734.34, 4,102.14 and 885.58 is: 1,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.34 : 4,102.14 = 885.58 : x
  2. Step 2: Convert to fraction form
    2,734.34/4,102.14 = 885.58/x
  3. Step 3: Cross multiply
    2,734.34x = 4,102.14 × 885.58
  4. Step 4: Simplify right side
    2,734.34x = 3,632,773.14
  5. Step 5: Solve for x
    x = 3,632,773.14/2,734.34
  6. Step 6: Final answer
    x = 1,328.57

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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.