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Finding the Fourth Proportional to 2,169.58, 3,249.12 and 1,242.32

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Solution

The fourth proportional to 2,169.58, 3,249.12 and 1,242.32 is: 1,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.58 : 3,249.12 = 1,242.32 : x
  2. Step 2: Convert to fraction form
    2,169.58/3,249.12 = 1,242.32/x
  3. Step 3: Cross multiply
    2,169.58x = 3,249.12 × 1,242.32
  4. Step 4: Simplify right side
    2,169.58x = 4,036,446.76
  5. Step 5: Solve for x
    x = 4,036,446.76/2,169.58
  6. Step 6: Final answer
    x = 1,860.47

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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.