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Finding the Fourth Proportional to 2,331.84, 3,498.36 and 871

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Solution

The fourth proportional to 2,331.84, 3,498.36 and 871 is: 1,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.84 : 3,498.36 = 871 : x
  2. Step 2: Convert to fraction form
    2,331.84/3,498.36 = 871/x
  3. Step 3: Cross multiply
    2,331.84x = 3,498.36 × 871
  4. Step 4: Simplify right side
    2,331.84x = 3,047,071.56
  5. Step 5: Solve for x
    x = 3,047,071.56/2,331.84
  6. Step 6: Final answer
    x = 1,306.72

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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.