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Finding the Fourth Proportional to 2,829.78, 4,233.69 and 2,480.49

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Solution

The fourth proportional to 2,829.78, 4,233.69 and 2,480.49 is: 3,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.78 : 4,233.69 = 2,480.49 : x
  2. Step 2: Convert to fraction form
    2,829.78/4,233.69 = 2,480.49/x
  3. Step 3: Cross multiply
    2,829.78x = 4,233.69 × 2,480.49
  4. Step 4: Simplify right side
    2,829.78x = 10,501,625.71
  5. Step 5: Solve for x
    x = 10,501,625.71/2,829.78
  6. Step 6: Final answer
    x = 3,711.11

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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.