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Finding the Fourth Proportional to 1,911.60, 2,864.97 and 936.90

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Solution

The fourth proportional to 1,911.60, 2,864.97 and 936.90 is: 1,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.60 : 2,864.97 = 936.90 : x
  2. Step 2: Convert to fraction form
    1,911.60/2,864.97 = 936.90/x
  3. Step 3: Cross multiply
    1,911.60x = 2,864.97 × 936.90
  4. Step 4: Simplify right side
    1,911.60x = 2,684,190.39
  5. Step 5: Solve for x
    x = 2,684,190.39/1,911.60
  6. Step 6: Final answer
    x = 1,404.16

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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.