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Finding the Fourth Proportional to 2,734.65, 4,101.48 and 786.38

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Solution

The fourth proportional to 2,734.65, 4,101.48 and 786.38 is: 1,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.65 : 4,101.48 = 786.38 : x
  2. Step 2: Convert to fraction form
    2,734.65/4,101.48 = 786.38/x
  3. Step 3: Cross multiply
    2,734.65x = 4,101.48 × 786.38
  4. Step 4: Simplify right side
    2,734.65x = 3,225,301.34
  5. Step 5: Solve for x
    x = 3,225,301.34/2,734.65
  6. Step 6: Final answer
    x = 1,179.42

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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.