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Finding the Fourth Proportional to 1,552.46, 2,142.57 and 889.41

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Solution

The fourth proportional to 1,552.46, 2,142.57 and 889.41 is: 1,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.46 : 2,142.57 = 889.41 : x
  2. Step 2: Convert to fraction form
    1,552.46/2,142.57 = 889.41/x
  3. Step 3: Cross multiply
    1,552.46x = 2,142.57 × 889.41
  4. Step 4: Simplify right side
    1,552.46x = 1,905,623.18
  5. Step 5: Solve for x
    x = 1,905,623.18/1,552.46
  6. Step 6: Final answer
    x = 1,227.49

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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.