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Finding the Fourth Proportional to 2,099.54, 2,896.25 and 1,302.62

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Solution

The fourth proportional to 2,099.54, 2,896.25 and 1,302.62 is: 1,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.54 : 2,896.25 = 1,302.62 : x
  2. Step 2: Convert to fraction form
    2,099.54/2,896.25 = 1,302.62/x
  3. Step 3: Cross multiply
    2,099.54x = 2,896.25 × 1,302.62
  4. Step 4: Simplify right side
    2,099.54x = 3,772,692.18
  5. Step 5: Solve for x
    x = 3,772,692.18/2,099.54
  6. Step 6: Final answer
    x = 1,796.91

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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.