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Finding the Fourth Proportional to 2,011.69, 3,018.14 and 902.03

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Solution

The fourth proportional to 2,011.69, 3,018.14 and 902.03 is: 1,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.69 : 3,018.14 = 902.03 : x
  2. Step 2: Convert to fraction form
    2,011.69/3,018.14 = 902.03/x
  3. Step 3: Cross multiply
    2,011.69x = 3,018.14 × 902.03
  4. Step 4: Simplify right side
    2,011.69x = 2,722,462.62
  5. Step 5: Solve for x
    x = 2,722,462.62/2,011.69
  6. Step 6: Final answer
    x = 1,353.32

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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.