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Finding the Fourth Proportional to 1,892.49, 2,838.72 and 738.24

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Solution

The fourth proportional to 1,892.49, 2,838.72 and 738.24 is: 1,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.49 : 2,838.72 = 738.24 : x
  2. Step 2: Convert to fraction form
    1,892.49/2,838.72 = 738.24/x
  3. Step 3: Cross multiply
    1,892.49x = 2,838.72 × 738.24
  4. Step 4: Simplify right side
    1,892.49x = 2,095,654.68
  5. Step 5: Solve for x
    x = 2,095,654.68/1,892.49
  6. Step 6: Final answer
    x = 1,107.35

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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.