Home / 1,522.46-2,101.78-1,027.70

Finding the Fourth Proportional to 1,522.46, 2,101.78 and 1,027.70

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Solution

The fourth proportional to 1,522.46, 2,101.78 and 1,027.70 is: 1,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.46 : 2,101.78 = 1,027.70 : x
  2. Step 2: Convert to fraction form
    1,522.46/2,101.78 = 1,027.70/x
  3. Step 3: Cross multiply
    1,522.46x = 2,101.78 × 1,027.70
  4. Step 4: Simplify right side
    1,522.46x = 2,159,999.31
  5. Step 5: Solve for x
    x = 2,159,999.31/1,522.46
  6. Step 6: Final answer
    x = 1,418.76

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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.