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Finding the Fourth Proportional to 2,408.58, 3,617.91 and 2,140.38

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Solution

The fourth proportional to 2,408.58, 3,617.91 and 2,140.38 is: 3,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.58 : 3,617.91 = 2,140.38 : x
  2. Step 2: Convert to fraction form
    2,408.58/3,617.91 = 2,140.38/x
  3. Step 3: Cross multiply
    2,408.58x = 3,617.91 × 2,140.38
  4. Step 4: Simplify right side
    2,408.58x = 7,743,702.21
  5. Step 5: Solve for x
    x = 7,743,702.21/2,408.58
  6. Step 6: Final answer
    x = 3,215.05

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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.