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Finding the Fourth Proportional to 2,596, 3,884.28 and 1,617.52

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Solution

The fourth proportional to 2,596, 3,884.28 and 1,617.52 is: 2,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,884.28 = 1,617.52 : x
  2. Step 2: Convert to fraction form
    2,596/3,884.28 = 1,617.52/x
  3. Step 3: Cross multiply
    2,596x = 3,884.28 × 1,617.52
  4. Step 4: Simplify right side
    2,596x = 6,282,900.59
  5. Step 5: Solve for x
    x = 6,282,900.59/2,596
  6. Step 6: Final answer
    x = 2,420.22

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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.