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Finding the Fourth Proportional to 3,109.88, 4,657.16 and 2,010.88

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Solution

The fourth proportional to 3,109.88, 4,657.16 and 2,010.88 is: 3,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.88 : 4,657.16 = 2,010.88 : x
  2. Step 2: Convert to fraction form
    3,109.88/4,657.16 = 2,010.88/x
  3. Step 3: Cross multiply
    3,109.88x = 4,657.16 × 2,010.88
  4. Step 4: Simplify right side
    3,109.88x = 9,364,989.90
  5. Step 5: Solve for x
    x = 9,364,989.90/3,109.88
  6. Step 6: Final answer
    x = 3,011.37

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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.