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Finding the Fourth Proportional to 2,222.68, 3,334.48 and 761.95

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Solution

The fourth proportional to 2,222.68, 3,334.48 and 761.95 is: 1,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.68 : 3,334.48 = 761.95 : x
  2. Step 2: Convert to fraction form
    2,222.68/3,334.48 = 761.95/x
  3. Step 3: Cross multiply
    2,222.68x = 3,334.48 × 761.95
  4. Step 4: Simplify right side
    2,222.68x = 2,540,696.79
  5. Step 5: Solve for x
    x = 2,540,696.79/2,222.68
  6. Step 6: Final answer
    x = 1,143.08

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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.