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Finding the Fourth Proportional to 2,081.76, 2,871.72 and 1,242.06

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Solution

The fourth proportional to 2,081.76, 2,871.72 and 1,242.06 is: 1,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.76 : 2,871.72 = 1,242.06 : x
  2. Step 2: Convert to fraction form
    2,081.76/2,871.72 = 1,242.06/x
  3. Step 3: Cross multiply
    2,081.76x = 2,871.72 × 1,242.06
  4. Step 4: Simplify right side
    2,081.76x = 3,566,848.54
  5. Step 5: Solve for x
    x = 3,566,848.54/2,081.76
  6. Step 6: Final answer
    x = 1,713.38

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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.