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Finding the Fourth Proportional to 2,582.75, 3,888.18 and 2,353.12

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Solution

The fourth proportional to 2,582.75, 3,888.18 and 2,353.12 is: 3,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.75 : 3,888.18 = 2,353.12 : x
  2. Step 2: Convert to fraction form
    2,582.75/3,888.18 = 2,353.12/x
  3. Step 3: Cross multiply
    2,582.75x = 3,888.18 × 2,353.12
  4. Step 4: Simplify right side
    2,582.75x = 9,149,334.68
  5. Step 5: Solve for x
    x = 9,149,334.68/2,582.75
  6. Step 6: Final answer
    x = 3,542.48

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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.