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Finding the Fourth Proportional to 3,204.76, 4,421.46 and 2,024.68

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Solution

The fourth proportional to 3,204.76, 4,421.46 and 2,024.68 is: 2,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.76 : 4,421.46 = 2,024.68 : x
  2. Step 2: Convert to fraction form
    3,204.76/4,421.46 = 2,024.68/x
  3. Step 3: Cross multiply
    3,204.76x = 4,421.46 × 2,024.68
  4. Step 4: Simplify right side
    3,204.76x = 8,952,041.63
  5. Step 5: Solve for x
    x = 8,952,041.63/3,204.76
  6. Step 6: Final answer
    x = 2,793.36

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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.