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Finding the Fourth Proportional to 2,906.88, 4,011.23 and 1,647.98

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Solution

The fourth proportional to 2,906.88, 4,011.23 and 1,647.98 is: 2,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.88 : 4,011.23 = 1,647.98 : x
  2. Step 2: Convert to fraction form
    2,906.88/4,011.23 = 1,647.98/x
  3. Step 3: Cross multiply
    2,906.88x = 4,011.23 × 1,647.98
  4. Step 4: Simplify right side
    2,906.88x = 6,610,426.82
  5. Step 5: Solve for x
    x = 6,610,426.82/2,906.88
  6. Step 6: Final answer
    x = 2,274.06

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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.