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Finding the Fourth Proportional to 1,741.64, 2,613.24 and 865.02

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Solution

The fourth proportional to 1,741.64, 2,613.24 and 865.02 is: 1,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.64 : 2,613.24 = 865.02 : x
  2. Step 2: Convert to fraction form
    1,741.64/2,613.24 = 865.02/x
  3. Step 3: Cross multiply
    1,741.64x = 2,613.24 × 865.02
  4. Step 4: Simplify right side
    1,741.64x = 2,260,504.86
  5. Step 5: Solve for x
    x = 2,260,504.86/1,741.64
  6. Step 6: Final answer
    x = 1,297.92

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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.