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Finding the Fourth Proportional to 1,342.56, 1,851.12 and 876

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Solution

The fourth proportional to 1,342.56, 1,851.12 and 876 is: 1,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.56 : 1,851.12 = 876 : x
  2. Step 2: Convert to fraction form
    1,342.56/1,851.12 = 876/x
  3. Step 3: Cross multiply
    1,342.56x = 1,851.12 × 876
  4. Step 4: Simplify right side
    1,342.56x = 1,621,581.12
  5. Step 5: Solve for x
    x = 1,621,581.12/1,342.56
  6. Step 6: Final answer
    x = 1,207.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.