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Finding the Fourth Proportional to 3,283.99, 4,925.99 and 2,180.47

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Solution

The fourth proportional to 3,283.99, 4,925.99 and 2,180.47 is: 3,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.99 : 4,925.99 = 2,180.47 : x
  2. Step 2: Convert to fraction form
    3,283.99/4,925.99 = 2,180.47/x
  3. Step 3: Cross multiply
    3,283.99x = 4,925.99 × 2,180.47
  4. Step 4: Simplify right side
    3,283.99x = 10,740,969.66
  5. Step 5: Solve for x
    x = 10,740,969.66/3,283.99
  6. Step 6: Final answer
    x = 3,270.70

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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.