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Finding the Fourth Proportional to 2,140.76, 3,211.11 and 755.06

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Solution

The fourth proportional to 2,140.76, 3,211.11 and 755.06 is: 1,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.76 : 3,211.11 = 755.06 : x
  2. Step 2: Convert to fraction form
    2,140.76/3,211.11 = 755.06/x
  3. Step 3: Cross multiply
    2,140.76x = 3,211.11 × 755.06
  4. Step 4: Simplify right side
    2,140.76x = 2,424,564.66
  5. Step 5: Solve for x
    x = 2,424,564.66/2,140.76
  6. Step 6: Final answer
    x = 1,132.57

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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.