Home / 3,102.62-4,652.94-1,022.16

Finding the Fourth Proportional to 3,102.62, 4,652.94 and 1,022.16

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Solution

The fourth proportional to 3,102.62, 4,652.94 and 1,022.16 is: 1,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.62 : 4,652.94 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    3,102.62/4,652.94 = 1,022.16/x
  3. Step 3: Cross multiply
    3,102.62x = 4,652.94 × 1,022.16
  4. Step 4: Simplify right side
    3,102.62x = 4,756,044.04
  5. Step 5: Solve for x
    x = 4,756,044.04/3,102.62
  6. Step 6: Final answer
    x = 1,532.91

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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.