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Finding the Fourth Proportional to 2,731.84, 4,097.72 and 784.03

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Solution

The fourth proportional to 2,731.84, 4,097.72 and 784.03 is: 1,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.84 : 4,097.72 = 784.03 : x
  2. Step 2: Convert to fraction form
    2,731.84/4,097.72 = 784.03/x
  3. Step 3: Cross multiply
    2,731.84x = 4,097.72 × 784.03
  4. Step 4: Simplify right side
    2,731.84x = 3,212,735.41
  5. Step 5: Solve for x
    x = 3,212,735.41/2,731.84
  6. Step 6: Final answer
    x = 1,176.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.