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Finding the Fourth Proportional to 2,221.76, 3,066 and 1,227.02

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Solution

The fourth proportional to 2,221.76, 3,066 and 1,227.02 is: 1,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.76 : 3,066 = 1,227.02 : x
  2. Step 2: Convert to fraction form
    2,221.76/3,066 = 1,227.02/x
  3. Step 3: Cross multiply
    2,221.76x = 3,066 × 1,227.02
  4. Step 4: Simplify right side
    2,221.76x = 3,762,043.32
  5. Step 5: Solve for x
    x = 3,762,043.32/2,221.76
  6. Step 6: Final answer
    x = 1,693.27

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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.