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Finding the Fourth Proportional to 2,955.52, 4,076.76 and 2,198.64

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Solution

The fourth proportional to 2,955.52, 4,076.76 and 2,198.64 is: 3,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.52 : 4,076.76 = 2,198.64 : x
  2. Step 2: Convert to fraction form
    2,955.52/4,076.76 = 2,198.64/x
  3. Step 3: Cross multiply
    2,955.52x = 4,076.76 × 2,198.64
  4. Step 4: Simplify right side
    2,955.52x = 8,963,327.61
  5. Step 5: Solve for x
    x = 8,963,327.61/2,955.52
  6. Step 6: Final answer
    x = 3,032.74

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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.