Home / 1,532.46-2,297.88-984.90

Finding the Fourth Proportional to 1,532.46, 2,297.88 and 984.90

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Solution

The fourth proportional to 1,532.46, 2,297.88 and 984.90 is: 1,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.46 : 2,297.88 = 984.90 : x
  2. Step 2: Convert to fraction form
    1,532.46/2,297.88 = 984.90/x
  3. Step 3: Cross multiply
    1,532.46x = 2,297.88 × 984.90
  4. Step 4: Simplify right side
    1,532.46x = 2,263,182.01
  5. Step 5: Solve for x
    x = 2,263,182.01/1,532.46
  6. Step 6: Final answer
    x = 1,476.83

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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.