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Finding the Fourth Proportional to 2,327.83, 3,494.18 and 1,462.75

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Solution

The fourth proportional to 2,327.83, 3,494.18 and 1,462.75 is: 2,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.83 : 3,494.18 = 1,462.75 : x
  2. Step 2: Convert to fraction form
    2,327.83/3,494.18 = 1,462.75/x
  3. Step 3: Cross multiply
    2,327.83x = 3,494.18 × 1,462.75
  4. Step 4: Simplify right side
    2,327.83x = 5,111,111.80
  5. Step 5: Solve for x
    x = 5,111,111.80/2,327.83
  6. Step 6: Final answer
    x = 2,195.66

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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.