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Finding the Fourth Proportional to 2,500.56, 3,449.64 and 1,616.04

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Solution

The fourth proportional to 2,500.56, 3,449.64 and 1,616.04 is: 2,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.56 : 3,449.64 = 1,616.04 : x
  2. Step 2: Convert to fraction form
    2,500.56/3,449.64 = 1,616.04/x
  3. Step 3: Cross multiply
    2,500.56x = 3,449.64 × 1,616.04
  4. Step 4: Simplify right side
    2,500.56x = 5,574,756.23
  5. Step 5: Solve for x
    x = 5,574,756.23/2,500.56
  6. Step 6: Final answer
    x = 2,229.40

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Why These Related Problems?

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