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Finding the Fourth Proportional to 2,892.34, 4,338.59 and 917.97

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Solution

The fourth proportional to 2,892.34, 4,338.59 and 917.97 is: 1,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.34 : 4,338.59 = 917.97 : x
  2. Step 2: Convert to fraction form
    2,892.34/4,338.59 = 917.97/x
  3. Step 3: Cross multiply
    2,892.34x = 4,338.59 × 917.97
  4. Step 4: Simplify right side
    2,892.34x = 3,982,706.31
  5. Step 5: Solve for x
    x = 3,982,706.31/2,892.34
  6. Step 6: Final answer
    x = 1,376.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.