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Finding the Fourth Proportional to 2,166.32, 3,249.02 and 933.40

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Solution

The fourth proportional to 2,166.32, 3,249.02 and 933.40 is: 1,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.32 : 3,249.02 = 933.40 : x
  2. Step 2: Convert to fraction form
    2,166.32/3,249.02 = 933.40/x
  3. Step 3: Cross multiply
    2,166.32x = 3,249.02 × 933.40
  4. Step 4: Simplify right side
    2,166.32x = 3,032,635.27
  5. Step 5: Solve for x
    x = 3,032,635.27/2,166.32
  6. Step 6: Final answer
    x = 1,399.90

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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.