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Finding the Fourth Proportional to 2,097.54, 3,146.49 and 781.02

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Solution

The fourth proportional to 2,097.54, 3,146.49 and 781.02 is: 1,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.54 : 3,146.49 = 781.02 : x
  2. Step 2: Convert to fraction form
    2,097.54/3,146.49 = 781.02/x
  3. Step 3: Cross multiply
    2,097.54x = 3,146.49 × 781.02
  4. Step 4: Simplify right side
    2,097.54x = 2,457,471.62
  5. Step 5: Solve for x
    x = 2,457,471.62/2,097.54
  6. Step 6: Final answer
    x = 1,171.60

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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.