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Finding the Fourth Proportional to 2,833.09, 4,248.07 and 984.04

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Solution

The fourth proportional to 2,833.09, 4,248.07 and 984.04 is: 1,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.09 : 4,248.07 = 984.04 : x
  2. Step 2: Convert to fraction form
    2,833.09/4,248.07 = 984.04/x
  3. Step 3: Cross multiply
    2,833.09x = 4,248.07 × 984.04
  4. Step 4: Simplify right side
    2,833.09x = 4,180,270.80
  5. Step 5: Solve for x
    x = 4,180,270.80/2,833.09
  6. Step 6: Final answer
    x = 1,475.52

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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.