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Finding the Fourth Proportional to 2,223.58, 3,334.98 and 762.52

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Solution

The fourth proportional to 2,223.58, 3,334.98 and 762.52 is: 1,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.58 : 3,334.98 = 762.52 : x
  2. Step 2: Convert to fraction form
    2,223.58/3,334.98 = 762.52/x
  3. Step 3: Cross multiply
    2,223.58x = 3,334.98 × 762.52
  4. Step 4: Simplify right side
    2,223.58x = 2,542,988.95
  5. Step 5: Solve for x
    x = 2,542,988.95/2,223.58
  6. Step 6: Final answer
    x = 1,143.65

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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.