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Finding the Fourth Proportional to 2,110.97, 3,165.67 and 723.93

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Solution

The fourth proportional to 2,110.97, 3,165.67 and 723.93 is: 1,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.97 : 3,165.67 = 723.93 : x
  2. Step 2: Convert to fraction form
    2,110.97/3,165.67 = 723.93/x
  3. Step 3: Cross multiply
    2,110.97x = 3,165.67 × 723.93
  4. Step 4: Simplify right side
    2,110.97x = 2,291,723.48
  5. Step 5: Solve for x
    x = 2,291,723.48/2,110.97
  6. Step 6: Final answer
    x = 1,085.63

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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.