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Finding the Fourth Proportional to 2,833.16, 4,249.76 and 984.29

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Solution

The fourth proportional to 2,833.16, 4,249.76 and 984.29 is: 1,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.16 : 4,249.76 = 984.29 : x
  2. Step 2: Convert to fraction form
    2,833.16/4,249.76 = 984.29/x
  3. Step 3: Cross multiply
    2,833.16x = 4,249.76 × 984.29
  4. Step 4: Simplify right side
    2,833.16x = 4,182,970.10
  5. Step 5: Solve for x
    x = 4,182,970.10/2,833.16
  6. Step 6: Final answer
    x = 1,476.44

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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.