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Finding the Fourth Proportional to 2,223.26, 3,344.16 and 1,854.20

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Solution

The fourth proportional to 2,223.26, 3,344.16 and 1,854.20 is: 2,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.26 : 3,344.16 = 1,854.20 : x
  2. Step 2: Convert to fraction form
    2,223.26/3,344.16 = 1,854.20/x
  3. Step 3: Cross multiply
    2,223.26x = 3,344.16 × 1,854.20
  4. Step 4: Simplify right side
    2,223.26x = 6,200,741.47
  5. Step 5: Solve for x
    x = 6,200,741.47/2,223.26
  6. Step 6: Final answer
    x = 2,789.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.