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Finding the Fourth Proportional to 2,833.93, 4,251.30 and 985.24

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Solution

The fourth proportional to 2,833.93, 4,251.30 and 985.24 is: 1,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.93 : 4,251.30 = 985.24 : x
  2. Step 2: Convert to fraction form
    2,833.93/4,251.30 = 985.24/x
  3. Step 3: Cross multiply
    2,833.93x = 4,251.30 × 985.24
  4. Step 4: Simplify right side
    2,833.93x = 4,188,550.81
  5. Step 5: Solve for x
    x = 4,188,550.81/2,833.93
  6. Step 6: Final answer
    x = 1,478.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.