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Finding the Fourth Proportional to 2,906.18, 4,009.90 and 1,647.14

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Solution

The fourth proportional to 2,906.18, 4,009.90 and 1,647.14 is: 2,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.18 : 4,009.90 = 1,647.14 : x
  2. Step 2: Convert to fraction form
    2,906.18/4,009.90 = 1,647.14/x
  3. Step 3: Cross multiply
    2,906.18x = 4,009.90 × 1,647.14
  4. Step 4: Simplify right side
    2,906.18x = 6,604,866.69
  5. Step 5: Solve for x
    x = 6,604,866.69/2,906.18
  6. Step 6: Final answer
    x = 2,272.70

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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.