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Finding the Fourth Proportional to 2,125.56, 3,188.54 and 1,085.12

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Solution

The fourth proportional to 2,125.56, 3,188.54 and 1,085.12 is: 1,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.56 : 3,188.54 = 1,085.12 : x
  2. Step 2: Convert to fraction form
    2,125.56/3,188.54 = 1,085.12/x
  3. Step 3: Cross multiply
    2,125.56x = 3,188.54 × 1,085.12
  4. Step 4: Simplify right side
    2,125.56x = 3,459,948.52
  5. Step 5: Solve for x
    x = 3,459,948.52/2,125.56
  6. Step 6: Final answer
    x = 1,627.78

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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.