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Finding the Fourth Proportional to 2,734.90, 4,102.35 and 2,523.70

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Solution

The fourth proportional to 2,734.90, 4,102.35 and 2,523.70 is: 3,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.90 : 4,102.35 = 2,523.70 : x
  2. Step 2: Convert to fraction form
    2,734.90/4,102.35 = 2,523.70/x
  3. Step 3: Cross multiply
    2,734.90x = 4,102.35 × 2,523.70
  4. Step 4: Simplify right side
    2,734.90x = 10,353,100.70
  5. Step 5: Solve for x
    x = 10,353,100.70/2,734.90
  6. Step 6: Final answer
    x = 3,785.55

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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.