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Finding the Fourth Proportional to 2,002.05, 3,002.73 and 906.16

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Solution

The fourth proportional to 2,002.05, 3,002.73 and 906.16 is: 1,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.05 : 3,002.73 = 906.16 : x
  2. Step 2: Convert to fraction form
    2,002.05/3,002.73 = 906.16/x
  3. Step 3: Cross multiply
    2,002.05x = 3,002.73 × 906.16
  4. Step 4: Simplify right side
    2,002.05x = 2,720,953.82
  5. Step 5: Solve for x
    x = 2,720,953.82/2,002.05
  6. Step 6: Final answer
    x = 1,359.08

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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.