Home / 1,552.24-2,142.16-889.14

Finding the Fourth Proportional to 1,552.24, 2,142.16 and 889.14

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Solution

The fourth proportional to 1,552.24, 2,142.16 and 889.14 is: 1,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.24 : 2,142.16 = 889.14 : x
  2. Step 2: Convert to fraction form
    1,552.24/2,142.16 = 889.14/x
  3. Step 3: Cross multiply
    1,552.24x = 2,142.16 × 889.14
  4. Step 4: Simplify right side
    1,552.24x = 1,904,680.14
  5. Step 5: Solve for x
    x = 1,904,680.14/1,552.24
  6. Step 6: Final answer
    x = 1,227.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.