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Finding the Fourth Proportional to 2,295.88, 3,163.38 and 1,596.04

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Solution

The fourth proportional to 2,295.88, 3,163.38 and 1,596.04 is: 2,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.88 : 3,163.38 = 1,596.04 : x
  2. Step 2: Convert to fraction form
    2,295.88/3,163.38 = 1,596.04/x
  3. Step 3: Cross multiply
    2,295.88x = 3,163.38 × 1,596.04
  4. Step 4: Simplify right side
    2,295.88x = 5,048,881.02
  5. Step 5: Solve for x
    x = 5,048,881.02/2,295.88
  6. Step 6: Final answer
    x = 2,199.10

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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.