Home / 1,524.28-2,284.46-1,157.96

Finding the Fourth Proportional to 1,524.28, 2,284.46 and 1,157.96

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Solution

The fourth proportional to 1,524.28, 2,284.46 and 1,157.96 is: 1,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.28 : 2,284.46 = 1,157.96 : x
  2. Step 2: Convert to fraction form
    1,524.28/2,284.46 = 1,157.96/x
  3. Step 3: Cross multiply
    1,524.28x = 2,284.46 × 1,157.96
  4. Step 4: Simplify right side
    1,524.28x = 2,645,313.30
  5. Step 5: Solve for x
    x = 2,645,313.30/1,524.28
  6. Step 6: Final answer
    x = 1,735.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.