Home / 1,524.40-2,102.34-1,107.52

Finding the Fourth Proportional to 1,524.40, 2,102.34 and 1,107.52

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Solution

The fourth proportional to 1,524.40, 2,102.34 and 1,107.52 is: 1,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.40 : 2,102.34 = 1,107.52 : x
  2. Step 2: Convert to fraction form
    1,524.40/2,102.34 = 1,107.52/x
  3. Step 3: Cross multiply
    1,524.40x = 2,102.34 × 1,107.52
  4. Step 4: Simplify right side
    1,524.40x = 2,328,383.60
  5. Step 5: Solve for x
    x = 2,328,383.60/1,524.40
  6. Step 6: Final answer
    x = 1,527.41

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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.