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Finding the Fourth Proportional to 2,906.21, 4,008.53 and 1,911.17

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Solution

The fourth proportional to 2,906.21, 4,008.53 and 1,911.17 is: 2,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.21 : 4,008.53 = 1,911.17 : x
  2. Step 2: Convert to fraction form
    2,906.21/4,008.53 = 1,911.17/x
  3. Step 3: Cross multiply
    2,906.21x = 4,008.53 × 1,911.17
  4. Step 4: Simplify right side
    2,906.21x = 7,660,967.02
  5. Step 5: Solve for x
    x = 7,660,967.02/2,906.21
  6. Step 6: Final answer
    x = 2,636.07

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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.