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Finding the Fourth Proportional to 2,593.22, 3,888.41 and 1,620

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Solution

The fourth proportional to 2,593.22, 3,888.41 and 1,620 is: 2,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.22 : 3,888.41 = 1,620 : x
  2. Step 2: Convert to fraction form
    2,593.22/3,888.41 = 1,620/x
  3. Step 3: Cross multiply
    2,593.22x = 3,888.41 × 1,620
  4. Step 4: Simplify right side
    2,593.22x = 6,299,216.10
  5. Step 5: Solve for x
    x = 6,299,216.10/2,593.22
  6. Step 6: Final answer
    x = 2,429.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.