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Finding the Fourth Proportional to 2,221.80, 3,066.24 and 1,277.90

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Solution

The fourth proportional to 2,221.80, 3,066.24 and 1,277.90 is: 1,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.80 : 3,066.24 = 1,277.90 : x
  2. Step 2: Convert to fraction form
    2,221.80/3,066.24 = 1,277.90/x
  3. Step 3: Cross multiply
    2,221.80x = 3,066.24 × 1,277.90
  4. Step 4: Simplify right side
    2,221.80x = 3,918,332.76
  5. Step 5: Solve for x
    x = 3,918,332.76/2,221.80
  6. Step 6: Final answer
    x = 1,763.58

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