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Finding the Fourth Proportional to 2,012.13, 3,018.82 and 902.47

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Solution

The fourth proportional to 2,012.13, 3,018.82 and 902.47 is: 1,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.13 : 3,018.82 = 902.47 : x
  2. Step 2: Convert to fraction form
    2,012.13/3,018.82 = 902.47/x
  3. Step 3: Cross multiply
    2,012.13x = 3,018.82 × 902.47
  4. Step 4: Simplify right side
    2,012.13x = 2,724,389.97
  5. Step 5: Solve for x
    x = 2,724,389.97/2,012.13
  6. Step 6: Final answer
    x = 1,353.99

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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.