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Finding the Fourth Proportional to 2,899.21, 4,002.42 and 2,234.59

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Solution

The fourth proportional to 2,899.21, 4,002.42 and 2,234.59 is: 3,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.21 : 4,002.42 = 2,234.59 : x
  2. Step 2: Convert to fraction form
    2,899.21/4,002.42 = 2,234.59/x
  3. Step 3: Cross multiply
    2,899.21x = 4,002.42 × 2,234.59
  4. Step 4: Simplify right side
    2,899.21x = 8,943,767.71
  5. Step 5: Solve for x
    x = 8,943,767.71/2,899.21
  6. Step 6: Final answer
    x = 3,084.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.