Home / 1,540.48-2,305.84-1,105.52

Finding the Fourth Proportional to 1,540.48, 2,305.84 and 1,105.52

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Solution

The fourth proportional to 1,540.48, 2,305.84 and 1,105.52 is: 1,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.48 : 2,305.84 = 1,105.52 : x
  2. Step 2: Convert to fraction form
    1,540.48/2,305.84 = 1,105.52/x
  3. Step 3: Cross multiply
    1,540.48x = 2,305.84 × 1,105.52
  4. Step 4: Simplify right side
    1,540.48x = 2,549,152.24
  5. Step 5: Solve for x
    x = 2,549,152.24/1,540.48
  6. Step 6: Final answer
    x = 1,654.78

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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.