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Finding the Fourth Proportional to 1,560.73, 2,154.26 and 923.26

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Solution

The fourth proportional to 1,560.73, 2,154.26 and 923.26 is: 1,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.73 : 2,154.26 = 923.26 : x
  2. Step 2: Convert to fraction form
    1,560.73/2,154.26 = 923.26/x
  3. Step 3: Cross multiply
    1,560.73x = 2,154.26 × 923.26
  4. Step 4: Simplify right side
    1,560.73x = 1,988,942.09
  5. Step 5: Solve for x
    x = 1,988,942.09/1,560.73
  6. Step 6: Final answer
    x = 1,274.37

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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.