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Finding the Fourth Proportional to 1,741.97, 2,613.64 and 767.39

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Solution

The fourth proportional to 1,741.97, 2,613.64 and 767.39 is: 1,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.97 : 2,613.64 = 767.39 : x
  2. Step 2: Convert to fraction form
    1,741.97/2,613.64 = 767.39/x
  3. Step 3: Cross multiply
    1,741.97x = 2,613.64 × 767.39
  4. Step 4: Simplify right side
    1,741.97x = 2,005,666.21
  5. Step 5: Solve for x
    x = 2,005,666.21/1,741.97
  6. Step 6: Final answer
    x = 1,151.38

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1.5x scale

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.