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Finding the Fourth Proportional to 2,731.52, 4,098 and 783.88

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Solution

The fourth proportional to 2,731.52, 4,098 and 783.88 is: 1,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.52 : 4,098 = 783.88 : x
  2. Step 2: Convert to fraction form
    2,731.52/4,098 = 783.88/x
  3. Step 3: Cross multiply
    2,731.52x = 4,098 × 783.88
  4. Step 4: Simplify right side
    2,731.52x = 3,212,340.24
  5. Step 5: Solve for x
    x = 3,212,340.24/2,731.52
  6. Step 6: Final answer
    x = 1,176.03

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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.