Home / 1,589.74-2,194.11-926.58

Finding the Fourth Proportional to 1,589.74, 2,194.11 and 926.58

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Solution

The fourth proportional to 1,589.74, 2,194.11 and 926.58 is: 1,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.74 : 2,194.11 = 926.58 : x
  2. Step 2: Convert to fraction form
    1,589.74/2,194.11 = 926.58/x
  3. Step 3: Cross multiply
    1,589.74x = 2,194.11 × 926.58
  4. Step 4: Simplify right side
    1,589.74x = 2,033,026.67
  5. Step 5: Solve for x
    x = 2,033,026.67/1,589.74
  6. Step 6: Final answer
    x = 1,278.84

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1.5x scale

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.