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Finding the Fourth Proportional to 1,278.81, 1,908.88 and 1,097.37

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Solution

The fourth proportional to 1,278.81, 1,908.88 and 1,097.37 is: 1,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.81 : 1,908.88 = 1,097.37 : x
  2. Step 2: Convert to fraction form
    1,278.81/1,908.88 = 1,097.37/x
  3. Step 3: Cross multiply
    1,278.81x = 1,908.88 × 1,097.37
  4. Step 4: Simplify right side
    1,278.81x = 2,094,744.90
  5. Step 5: Solve for x
    x = 2,094,744.90/1,278.81
  6. Step 6: Final answer
    x = 1,638.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.