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Finding the Fourth Proportional to 2,864.93, 4,297.62 and 1,221.49

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Solution

The fourth proportional to 2,864.93, 4,297.62 and 1,221.49 is: 1,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.93 : 4,297.62 = 1,221.49 : x
  2. Step 2: Convert to fraction form
    2,864.93/4,297.62 = 1,221.49/x
  3. Step 3: Cross multiply
    2,864.93x = 4,297.62 × 1,221.49
  4. Step 4: Simplify right side
    2,864.93x = 5,249,502.91
  5. Step 5: Solve for x
    x = 5,249,502.91/2,864.93
  6. Step 6: Final answer
    x = 1,832.33

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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.