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Finding the Fourth Proportional to 2,221.47, 3,062.76 and 1,821.68

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Solution

The fourth proportional to 2,221.47, 3,062.76 and 1,821.68 is: 2,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.47 : 3,062.76 = 1,821.68 : x
  2. Step 2: Convert to fraction form
    2,221.47/3,062.76 = 1,821.68/x
  3. Step 3: Cross multiply
    2,221.47x = 3,062.76 × 1,821.68
  4. Step 4: Simplify right side
    2,221.47x = 5,579,353.32
  5. Step 5: Solve for x
    x = 5,579,353.32/2,221.47
  6. Step 6: Final answer
    x = 2,511.56

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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.