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Finding the Fourth Proportional to 1,741.50, 2,613.06 and 876.42

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Solution

The fourth proportional to 1,741.50, 2,613.06 and 876.42 is: 1,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.50 : 2,613.06 = 876.42 : x
  2. Step 2: Convert to fraction form
    1,741.50/2,613.06 = 876.42/x
  3. Step 3: Cross multiply
    1,741.50x = 2,613.06 × 876.42
  4. Step 4: Simplify right side
    1,741.50x = 2,290,138.05
  5. Step 5: Solve for x
    x = 2,290,138.05/1,741.50
  6. Step 6: Final answer
    x = 1,315.04

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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.