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Finding the Fourth Proportional to 2,102.96, 3,152.61 and 1,062.09

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Solution

The fourth proportional to 2,102.96, 3,152.61 and 1,062.09 is: 1,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.96 : 3,152.61 = 1,062.09 : x
  2. Step 2: Convert to fraction form
    2,102.96/3,152.61 = 1,062.09/x
  3. Step 3: Cross multiply
    2,102.96x = 3,152.61 × 1,062.09
  4. Step 4: Simplify right side
    2,102.96x = 3,348,355.55
  5. Step 5: Solve for x
    x = 3,348,355.55/2,102.96
  6. Step 6: Final answer
    x = 1,592.21

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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.