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Finding the Fourth Proportional to 1,551.91, 2,141.44 and 922.45

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Solution

The fourth proportional to 1,551.91, 2,141.44 and 922.45 is: 1,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.91 : 2,141.44 = 922.45 : x
  2. Step 2: Convert to fraction form
    1,551.91/2,141.44 = 922.45/x
  3. Step 3: Cross multiply
    1,551.91x = 2,141.44 × 922.45
  4. Step 4: Simplify right side
    1,551.91x = 1,975,371.33
  5. Step 5: Solve for x
    x = 1,975,371.33/1,551.91
  6. Step 6: Final answer
    x = 1,272.86

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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.