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Finding the Fourth Proportional to 2,563.59, 3,842.97 and 2,335.33

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Solution

The fourth proportional to 2,563.59, 3,842.97 and 2,335.33 is: 3,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.59 : 3,842.97 = 2,335.33 : x
  2. Step 2: Convert to fraction form
    2,563.59/3,842.97 = 2,335.33/x
  3. Step 3: Cross multiply
    2,563.59x = 3,842.97 × 2,335.33
  4. Step 4: Simplify right side
    2,563.59x = 8,974,603.13
  5. Step 5: Solve for x
    x = 8,974,603.13/2,563.59
  6. Step 6: Final answer
    x = 3,500.80

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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.