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Finding the Fourth Proportional to 2,480.62, 3,707.57 and 2,165.77

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Solution

The fourth proportional to 2,480.62, 3,707.57 and 2,165.77 is: 3,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.62 : 3,707.57 = 2,165.77 : x
  2. Step 2: Convert to fraction form
    2,480.62/3,707.57 = 2,165.77/x
  3. Step 3: Cross multiply
    2,480.62x = 3,707.57 × 2,165.77
  4. Step 4: Simplify right side
    2,480.62x = 8,029,743.88
  5. Step 5: Solve for x
    x = 8,029,743.88/2,480.62
  6. Step 6: Final answer
    x = 3,236.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.