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Finding the Fourth Proportional to 1,961.60, 2,943.16 and 865.19

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Solution

The fourth proportional to 1,961.60, 2,943.16 and 865.19 is: 1,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.60 : 2,943.16 = 865.19 : x
  2. Step 2: Convert to fraction form
    1,961.60/2,943.16 = 865.19/x
  3. Step 3: Cross multiply
    1,961.60x = 2,943.16 × 865.19
  4. Step 4: Simplify right side
    1,961.60x = 2,546,392.60
  5. Step 5: Solve for x
    x = 2,546,392.60/1,961.60
  6. Step 6: Final answer
    x = 1,298.12

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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.