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Finding the Fourth Proportional to 1,967.66, 2,942.37 and 1,599.51

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Solution

The fourth proportional to 1,967.66, 2,942.37 and 1,599.51 is: 2,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.66 : 2,942.37 = 1,599.51 : x
  2. Step 2: Convert to fraction form
    1,967.66/2,942.37 = 1,599.51/x
  3. Step 3: Cross multiply
    1,967.66x = 2,942.37 × 1,599.51
  4. Step 4: Simplify right side
    1,967.66x = 4,706,350.24
  5. Step 5: Solve for x
    x = 4,706,350.24/1,967.66
  6. Step 6: Final answer
    x = 2,391.85

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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.