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Finding the Fourth Proportional to 2,616.81, 3,925.89 and 1,520.23

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Solution

The fourth proportional to 2,616.81, 3,925.89 and 1,520.23 is: 2,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.81 : 3,925.89 = 1,520.23 : x
  2. Step 2: Convert to fraction form
    2,616.81/3,925.89 = 1,520.23/x
  3. Step 3: Cross multiply
    2,616.81x = 3,925.89 × 1,520.23
  4. Step 4: Simplify right side
    2,616.81x = 5,968,255.75
  5. Step 5: Solve for x
    x = 5,968,255.75/2,616.81
  6. Step 6: Final answer
    x = 2,280.74

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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.