Home / 1,524.96-2,282.42-1,157.72

Finding the Fourth Proportional to 1,524.96, 2,282.42 and 1,157.72

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Solution

The fourth proportional to 1,524.96, 2,282.42 and 1,157.72 is: 1,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.96 : 2,282.42 = 1,157.72 : x
  2. Step 2: Convert to fraction form
    1,524.96/2,282.42 = 1,157.72/x
  3. Step 3: Cross multiply
    1,524.96x = 2,282.42 × 1,157.72
  4. Step 4: Simplify right side
    1,524.96x = 2,642,397.49
  5. Step 5: Solve for x
    x = 2,642,397.49/1,524.96
  6. Step 6: Final answer
    x = 1,732.77

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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.