Home / 1,461.08-2,016.11-871.50

Finding the Fourth Proportional to 1,461.08, 2,016.11 and 871.50

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Solution

The fourth proportional to 1,461.08, 2,016.11 and 871.50 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.08 : 2,016.11 = 871.50 : x
  2. Step 2: Convert to fraction form
    1,461.08/2,016.11 = 871.50/x
  3. Step 3: Cross multiply
    1,461.08x = 2,016.11 × 871.50
  4. Step 4: Simplify right side
    1,461.08x = 1,757,042.04
  5. Step 5: Solve for x
    x = 1,757,042.04/1,461.08
  6. Step 6: Final answer
    x = 1,202.56

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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.