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Finding the Fourth Proportional to 2,211.17, 3,316.21 and 750.47

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Solution

The fourth proportional to 2,211.17, 3,316.21 and 750.47 is: 1,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.17 : 3,316.21 = 750.47 : x
  2. Step 2: Convert to fraction form
    2,211.17/3,316.21 = 750.47/x
  3. Step 3: Cross multiply
    2,211.17x = 3,316.21 × 750.47
  4. Step 4: Simplify right side
    2,211.17x = 2,488,697.66
  5. Step 5: Solve for x
    x = 2,488,697.66/2,211.17
  6. Step 6: Final answer
    x = 1,125.51

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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.