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Finding the Fourth Proportional to 2,222.65, 3,066.29 and 1,278.22

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Solution

The fourth proportional to 2,222.65, 3,066.29 and 1,278.22 is: 1,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.65 : 3,066.29 = 1,278.22 : x
  2. Step 2: Convert to fraction form
    2,222.65/3,066.29 = 1,278.22/x
  3. Step 3: Cross multiply
    2,222.65x = 3,066.29 × 1,278.22
  4. Step 4: Simplify right side
    2,222.65x = 3,919,393.20
  5. Step 5: Solve for x
    x = 3,919,393.20/2,222.65
  6. Step 6: Final answer
    x = 1,763.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.