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Finding the Fourth Proportional to 2,731.78, 4,097.69 and 784.04

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Solution

The fourth proportional to 2,731.78, 4,097.69 and 784.04 is: 1,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.78 : 4,097.69 = 784.04 : x
  2. Step 2: Convert to fraction form
    2,731.78/4,097.69 = 784.04/x
  3. Step 3: Cross multiply
    2,731.78x = 4,097.69 × 784.04
  4. Step 4: Simplify right side
    2,731.78x = 3,212,748.95
  5. Step 5: Solve for x
    x = 3,212,748.95/2,731.78
  6. Step 6: Final answer
    x = 1,176.07

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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.