Home / 1,546.21-2,320.06-724.35

Finding the Fourth Proportional to 1,546.21, 2,320.06 and 724.35

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Solution

The fourth proportional to 1,546.21, 2,320.06 and 724.35 is: 1,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.21 : 2,320.06 = 724.35 : x
  2. Step 2: Convert to fraction form
    1,546.21/2,320.06 = 724.35/x
  3. Step 3: Cross multiply
    1,546.21x = 2,320.06 × 724.35
  4. Step 4: Simplify right side
    1,546.21x = 1,680,535.46
  5. Step 5: Solve for x
    x = 1,680,535.46/1,546.21
  6. Step 6: Final answer
    x = 1,086.87

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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.