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Finding the Fourth Proportional to 2,141.12, 3,211.68 and 755.42

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Solution

The fourth proportional to 2,141.12, 3,211.68 and 755.42 is: 1,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.12 : 3,211.68 = 755.42 : x
  2. Step 2: Convert to fraction form
    2,141.12/3,211.68 = 755.42/x
  3. Step 3: Cross multiply
    2,141.12x = 3,211.68 × 755.42
  4. Step 4: Simplify right side
    2,141.12x = 2,426,151.25
  5. Step 5: Solve for x
    x = 2,426,151.25/2,141.12
  6. Step 6: Final answer
    x = 1,133.13

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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.