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Finding the Fourth Proportional to 1,741.74, 2,613.46 and 767.72

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Solution

The fourth proportional to 1,741.74, 2,613.46 and 767.72 is: 1,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.74 : 2,613.46 = 767.72 : x
  2. Step 2: Convert to fraction form
    1,741.74/2,613.46 = 767.72/x
  3. Step 3: Cross multiply
    1,741.74x = 2,613.46 × 767.72
  4. Step 4: Simplify right side
    1,741.74x = 2,006,405.51
  5. Step 5: Solve for x
    x = 2,006,405.51/1,741.74
  6. Step 6: Final answer
    x = 1,151.95

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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.