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Finding the Fourth Proportional to 1,551.72, 2,141.54 and 922.44

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Solution

The fourth proportional to 1,551.72, 2,141.54 and 922.44 is: 1,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.72 : 2,141.54 = 922.44 : x
  2. Step 2: Convert to fraction form
    1,551.72/2,141.54 = 922.44/x
  3. Step 3: Cross multiply
    1,551.72x = 2,141.54 × 922.44
  4. Step 4: Simplify right side
    1,551.72x = 1,975,442.16
  5. Step 5: Solve for x
    x = 1,975,442.16/1,551.72
  6. Step 6: Final answer
    x = 1,273.07

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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.