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Finding the Fourth Proportional to 2,249.96, 3,103.98 and 1,464.08

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Solution

The fourth proportional to 2,249.96, 3,103.98 and 1,464.08 is: 2,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.96 : 3,103.98 = 1,464.08 : x
  2. Step 2: Convert to fraction form
    2,249.96/3,103.98 = 1,464.08/x
  3. Step 3: Cross multiply
    2,249.96x = 3,103.98 × 1,464.08
  4. Step 4: Simplify right side
    2,249.96x = 4,544,475.04
  5. Step 5: Solve for x
    x = 4,544,475.04/2,249.96
  6. Step 6: Final answer
    x = 2,019.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.