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Finding the Fourth Proportional to 1,957.37, 2,934.23 and 1,589.22

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Solution

The fourth proportional to 1,957.37, 2,934.23 and 1,589.22 is: 2,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.37 : 2,934.23 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    1,957.37/2,934.23 = 1,589.22/x
  3. Step 3: Cross multiply
    1,957.37x = 2,934.23 × 1,589.22
  4. Step 4: Simplify right side
    1,957.37x = 4,663,129.05
  5. Step 5: Solve for x
    x = 4,663,129.05/1,957.37
  6. Step 6: Final answer
    x = 2,382.35

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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.