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Finding the Fourth Proportional to 3,302.67, 4,949.01 and 2,259

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Solution

The fourth proportional to 3,302.67, 4,949.01 and 2,259 is: 3,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.67 : 4,949.01 = 2,259 : x
  2. Step 2: Convert to fraction form
    3,302.67/4,949.01 = 2,259/x
  3. Step 3: Cross multiply
    3,302.67x = 4,949.01 × 2,259
  4. Step 4: Simplify right side
    3,302.67x = 11,179,813.59
  5. Step 5: Solve for x
    x = 11,179,813.59/3,302.67
  6. Step 6: Final answer
    x = 3,385.08

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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.