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Finding the Fourth Proportional to 1,981.81, 2,735.04 and 1,097.74

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Solution

The fourth proportional to 1,981.81, 2,735.04 and 1,097.74 is: 1,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.81 : 2,735.04 = 1,097.74 : x
  2. Step 2: Convert to fraction form
    1,981.81/2,735.04 = 1,097.74/x
  3. Step 3: Cross multiply
    1,981.81x = 2,735.04 × 1,097.74
  4. Step 4: Simplify right side
    1,981.81x = 3,002,362.81
  5. Step 5: Solve for x
    x = 3,002,362.81/1,981.81
  6. Step 6: Final answer
    x = 1,514.96

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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.