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Finding the Fourth Proportional to 2,227.69, 3,074.43 and 1,854.01

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Solution

The fourth proportional to 2,227.69, 3,074.43 and 1,854.01 is: 2,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.69 : 3,074.43 = 1,854.01 : x
  2. Step 2: Convert to fraction form
    2,227.69/3,074.43 = 1,854.01/x
  3. Step 3: Cross multiply
    2,227.69x = 3,074.43 × 1,854.01
  4. Step 4: Simplify right side
    2,227.69x = 5,700,023.96
  5. Step 5: Solve for x
    x = 5,700,023.96/2,227.69
  6. Step 6: Final answer
    x = 2,558.72

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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.