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Finding the Fourth Proportional to 2,165.76, 3,249.46 and 1,924.12

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Solution

The fourth proportional to 2,165.76, 3,249.46 and 1,924.12 is: 2,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.76 : 3,249.46 = 1,924.12 : x
  2. Step 2: Convert to fraction form
    2,165.76/3,249.46 = 1,924.12/x
  3. Step 3: Cross multiply
    2,165.76x = 3,249.46 × 1,924.12
  4. Step 4: Simplify right side
    2,165.76x = 6,252,350.98
  5. Step 5: Solve for x
    x = 6,252,350.98/2,165.76
  6. Step 6: Final answer
    x = 2,886.91

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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.