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Finding the Fourth Proportional to 2,002.72, 3,004.12 and 616.06

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Solution

The fourth proportional to 2,002.72, 3,004.12 and 616.06 is: 924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.72 : 3,004.12 = 616.06 : x
  2. Step 2: Convert to fraction form
    2,002.72/3,004.12 = 616.06/x
  3. Step 3: Cross multiply
    2,002.72x = 3,004.12 × 616.06
  4. Step 4: Simplify right side
    2,002.72x = 1,850,731.14
  5. Step 5: Solve for x
    x = 1,850,731.14/2,002.72
  6. Step 6: Final answer
    x = 924.11

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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.