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Finding the Fourth Proportional to 3,421.77, 4,721.80 and 2,024.25

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Solution

The fourth proportional to 3,421.77, 4,721.80 and 2,024.25 is: 2,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.77 : 4,721.80 = 2,024.25 : x
  2. Step 2: Convert to fraction form
    3,421.77/4,721.80 = 2,024.25/x
  3. Step 3: Cross multiply
    3,421.77x = 4,721.80 × 2,024.25
  4. Step 4: Simplify right side
    3,421.77x = 9,558,103.65
  5. Step 5: Solve for x
    x = 9,558,103.65/3,421.77
  6. Step 6: Final answer
    x = 2,793.32

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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.