Home / 1,924.14-2,883.95-1,102.80

Finding the Fourth Proportional to 1,924.14, 2,883.95 and 1,102.80

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Solution

The fourth proportional to 1,924.14, 2,883.95 and 1,102.80 is: 1,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.14 : 2,883.95 = 1,102.80 : x
  2. Step 2: Convert to fraction form
    1,924.14/2,883.95 = 1,102.80/x
  3. Step 3: Cross multiply
    1,924.14x = 2,883.95 × 1,102.80
  4. Step 4: Simplify right side
    1,924.14x = 3,180,414.55
  5. Step 5: Solve for x
    x = 3,180,414.55/1,924.14
  6. Step 6: Final answer
    x = 1,652.90

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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.