Home / 1,589.18-2,193.44-926.15

Finding the Fourth Proportional to 1,589.18, 2,193.44 and 926.15

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Solution

The fourth proportional to 1,589.18, 2,193.44 and 926.15 is: 1,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.18 : 2,193.44 = 926.15 : x
  2. Step 2: Convert to fraction form
    1,589.18/2,193.44 = 926.15/x
  3. Step 3: Cross multiply
    1,589.18x = 2,193.44 × 926.15
  4. Step 4: Simplify right side
    1,589.18x = 2,031,438.86
  5. Step 5: Solve for x
    x = 2,031,438.86/1,589.18
  6. Step 6: Final answer
    x = 1,278.30

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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.