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Finding the Fourth Proportional to 2,221.48, 3,332.41 and 578.03

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Solution

The fourth proportional to 2,221.48, 3,332.41 and 578.03 is: 867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.48 : 3,332.41 = 578.03 : x
  2. Step 2: Convert to fraction form
    2,221.48/3,332.41 = 578.03/x
  3. Step 3: Cross multiply
    2,221.48x = 3,332.41 × 578.03
  4. Step 4: Simplify right side
    2,221.48x = 1,926,215.93
  5. Step 5: Solve for x
    x = 1,926,215.93/2,221.48
  6. Step 6: Final answer
    x = 867.09

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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.