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Finding the Fourth Proportional to 2,221.78, 3,065.71 and 1,277.39

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Solution

The fourth proportional to 2,221.78, 3,065.71 and 1,277.39 is: 1,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.78 : 3,065.71 = 1,277.39 : x
  2. Step 2: Convert to fraction form
    2,221.78/3,065.71 = 1,277.39/x
  3. Step 3: Cross multiply
    2,221.78x = 3,065.71 × 1,277.39
  4. Step 4: Simplify right side
    2,221.78x = 3,916,107.30
  5. Step 5: Solve for x
    x = 3,916,107.30/2,221.78
  6. Step 6: Final answer
    x = 1,762.60

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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.