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Finding the Fourth Proportional to 2,002.92, 3,004.82 and 616.36

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Solution

The fourth proportional to 2,002.92, 3,004.82 and 616.36 is: 924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.92 : 3,004.82 = 616.36 : x
  2. Step 2: Convert to fraction form
    2,002.92/3,004.82 = 616.36/x
  3. Step 3: Cross multiply
    2,002.92x = 3,004.82 × 616.36
  4. Step 4: Simplify right side
    2,002.92x = 1,852,050.86
  5. Step 5: Solve for x
    x = 1,852,050.86/2,002.92
  6. Step 6: Final answer
    x = 924.68

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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.