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Finding the Fourth Proportional to 2,167.52, 3,249.60 and 933.92

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Solution

The fourth proportional to 2,167.52, 3,249.60 and 933.92 is: 1,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.52 : 3,249.60 = 933.92 : x
  2. Step 2: Convert to fraction form
    2,167.52/3,249.60 = 933.92/x
  3. Step 3: Cross multiply
    2,167.52x = 3,249.60 × 933.92
  4. Step 4: Simplify right side
    2,167.52x = 3,034,866.43
  5. Step 5: Solve for x
    x = 3,034,866.43/2,167.52
  6. Step 6: Final answer
    x = 1,400.16

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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.