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Finding the Fourth Proportional to 2,593.72, 3,884.10 and 1,616.86

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Solution

The fourth proportional to 2,593.72, 3,884.10 and 1,616.86 is: 2,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.72 : 3,884.10 = 1,616.86 : x
  2. Step 2: Convert to fraction form
    2,593.72/3,884.10 = 1,616.86/x
  3. Step 3: Cross multiply
    2,593.72x = 3,884.10 × 1,616.86
  4. Step 4: Simplify right side
    2,593.72x = 6,280,045.93
  5. Step 5: Solve for x
    x = 6,280,045.93/2,593.72
  6. Step 6: Final answer
    x = 2,421.25

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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.