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Finding the Fourth Proportional to 2,110.59, 3,166.02 and 723.87

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Solution

The fourth proportional to 2,110.59, 3,166.02 and 723.87 is: 1,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.59 : 3,166.02 = 723.87 : x
  2. Step 2: Convert to fraction form
    2,110.59/3,166.02 = 723.87/x
  3. Step 3: Cross multiply
    2,110.59x = 3,166.02 × 723.87
  4. Step 4: Simplify right side
    2,110.59x = 2,291,786.90
  5. Step 5: Solve for x
    x = 2,291,786.90/2,110.59
  6. Step 6: Final answer
    x = 1,085.85

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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.