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Finding the Fourth Proportional to 2,125.85, 3,188.84 and 1,085.54

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Solution

The fourth proportional to 2,125.85, 3,188.84 and 1,085.54 is: 1,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.85 : 3,188.84 = 1,085.54 : x
  2. Step 2: Convert to fraction form
    2,125.85/3,188.84 = 1,085.54/x
  3. Step 3: Cross multiply
    2,125.85x = 3,188.84 × 1,085.54
  4. Step 4: Simplify right side
    2,125.85x = 3,461,592.00
  5. Step 5: Solve for x
    x = 3,461,592.00/2,125.85
  6. Step 6: Final answer
    x = 1,628.34

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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.