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Finding the Fourth Proportional to 1,552.76, 2,142.20 and 889.26

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Solution

The fourth proportional to 1,552.76, 2,142.20 and 889.26 is: 1,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.76 : 2,142.20 = 889.26 : x
  2. Step 2: Convert to fraction form
    1,552.76/2,142.20 = 889.26/x
  3. Step 3: Cross multiply
    1,552.76x = 2,142.20 × 889.26
  4. Step 4: Simplify right side
    1,552.76x = 1,904,972.77
  5. Step 5: Solve for x
    x = 1,904,972.77/1,552.76
  6. Step 6: Final answer
    x = 1,226.83

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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.