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Finding the Fourth Proportional to 1,751.81, 2,613.36 and 1,704.14

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Solution

The fourth proportional to 1,751.81, 2,613.36 and 1,704.14 is: 2,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.81 : 2,613.36 = 1,704.14 : x
  2. Step 2: Convert to fraction form
    1,751.81/2,613.36 = 1,704.14/x
  3. Step 3: Cross multiply
    1,751.81x = 2,613.36 × 1,704.14
  4. Step 4: Simplify right side
    1,751.81x = 4,453,524.85
  5. Step 5: Solve for x
    x = 4,453,524.85/1,751.81
  6. Step 6: Final answer
    x = 2,542.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.