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Finding the Fourth Proportional to 2,588.87, 3,883.79 and 2,354.12

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Solution

The fourth proportional to 2,588.87, 3,883.79 and 2,354.12 is: 3,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.87 : 3,883.79 = 2,354.12 : x
  2. Step 2: Convert to fraction form
    2,588.87/3,883.79 = 2,354.12/x
  3. Step 3: Cross multiply
    2,588.87x = 3,883.79 × 2,354.12
  4. Step 4: Simplify right side
    2,588.87x = 9,142,907.71
  5. Step 5: Solve for x
    x = 9,142,907.71/2,588.87
  6. Step 6: Final answer
    x = 3,531.62

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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.