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Finding the Fourth Proportional to 2,884.17, 4,327.25 and 910.10

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Solution

The fourth proportional to 2,884.17, 4,327.25 and 910.10 is: 1,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.17 : 4,327.25 = 910.10 : x
  2. Step 2: Convert to fraction form
    2,884.17/4,327.25 = 910.10/x
  3. Step 3: Cross multiply
    2,884.17x = 4,327.25 × 910.10
  4. Step 4: Simplify right side
    2,884.17x = 3,938,227.09
  5. Step 5: Solve for x
    x = 3,938,227.09/2,884.17
  6. Step 6: Final answer
    x = 1,365.46

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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.