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Finding the Fourth Proportional to 1,962.01, 2,941.19 and 865.78

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Solution

The fourth proportional to 1,962.01, 2,941.19 and 865.78 is: 1,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.01 : 2,941.19 = 865.78 : x
  2. Step 2: Convert to fraction form
    1,962.01/2,941.19 = 865.78/x
  3. Step 3: Cross multiply
    1,962.01x = 2,941.19 × 865.78
  4. Step 4: Simplify right side
    1,962.01x = 2,546,423.48
  5. Step 5: Solve for x
    x = 2,546,423.48/1,962.01
  6. Step 6: Final answer
    x = 1,297.86

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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.