Home / 1,142.96-1,566.99-1,122.20

Finding the Fourth Proportional to 1,142.96, 1,566.99 and 1,122.20

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Solution

The fourth proportional to 1,142.96, 1,566.99 and 1,122.20 is: 1,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.96 : 1,566.99 = 1,122.20 : x
  2. Step 2: Convert to fraction form
    1,142.96/1,566.99 = 1,122.20/x
  3. Step 3: Cross multiply
    1,142.96x = 1,566.99 × 1,122.20
  4. Step 4: Simplify right side
    1,142.96x = 1,758,476.18
  5. Step 5: Solve for x
    x = 1,758,476.18/1,142.96
  6. Step 6: Final answer
    x = 1,538.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.