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Finding the Fourth Proportional to 3,298, 4,551.22 and 2,038.76

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Solution

The fourth proportional to 3,298, 4,551.22 and 2,038.76 is: 2,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298 : 4,551.22 = 2,038.76 : x
  2. Step 2: Convert to fraction form
    3,298/4,551.22 = 2,038.76/x
  3. Step 3: Cross multiply
    3,298x = 4,551.22 × 2,038.76
  4. Step 4: Simplify right side
    3,298x = 9,278,845.29
  5. Step 5: Solve for x
    x = 9,278,845.29/3,298
  6. Step 6: Final answer
    x = 2,813.48

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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.