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Finding the Fourth Proportional to 2,027.09, 2,797.17 and 1,496.25

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Solution

The fourth proportional to 2,027.09, 2,797.17 and 1,496.25 is: 2,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.09 : 2,797.17 = 1,496.25 : x
  2. Step 2: Convert to fraction form
    2,027.09/2,797.17 = 1,496.25/x
  3. Step 3: Cross multiply
    2,027.09x = 2,797.17 × 1,496.25
  4. Step 4: Simplify right side
    2,027.09x = 4,185,280.49
  5. Step 5: Solve for x
    x = 4,185,280.49/2,027.09
  6. Step 6: Final answer
    x = 2,064.67

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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.