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Finding the Fourth Proportional to 2,580.52, 3,884.56 and 2,223.28

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Solution

The fourth proportional to 2,580.52, 3,884.56 and 2,223.28 is: 3,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.52 : 3,884.56 = 2,223.28 : x
  2. Step 2: Convert to fraction form
    2,580.52/3,884.56 = 2,223.28/x
  3. Step 3: Cross multiply
    2,580.52x = 3,884.56 × 2,223.28
  4. Step 4: Simplify right side
    2,580.52x = 8,636,464.56
  5. Step 5: Solve for x
    x = 8,636,464.56/2,580.52
  6. Step 6: Final answer
    x = 3,346.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.