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Finding the Fourth Proportional to 2,925, 4,033.76 and 2,180.61

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Solution

The fourth proportional to 2,925, 4,033.76 and 2,180.61 is: 3,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925 : 4,033.76 = 2,180.61 : x
  2. Step 2: Convert to fraction form
    2,925/4,033.76 = 2,180.61/x
  3. Step 3: Cross multiply
    2,925x = 4,033.76 × 2,180.61
  4. Step 4: Simplify right side
    2,925x = 8,796,046.49
  5. Step 5: Solve for x
    x = 8,796,046.49/2,925
  6. Step 6: Final answer
    x = 3,007.20

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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.