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Finding the Fourth Proportional to 2,097.65, 3,146.78 and 781.29

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Solution

The fourth proportional to 2,097.65, 3,146.78 and 781.29 is: 1,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.65 : 3,146.78 = 781.29 : x
  2. Step 2: Convert to fraction form
    2,097.65/3,146.78 = 781.29/x
  3. Step 3: Cross multiply
    2,097.65x = 3,146.78 × 781.29
  4. Step 4: Simplify right side
    2,097.65x = 2,458,543.84
  5. Step 5: Solve for x
    x = 2,458,543.84/2,097.65
  6. Step 6: Final answer
    x = 1,172.05

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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.