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Finding the Fourth Proportional to 2,869.31, 4,303.96 and 789.32

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Solution

The fourth proportional to 2,869.31, 4,303.96 and 789.32 is: 1,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.31 : 4,303.96 = 789.32 : x
  2. Step 2: Convert to fraction form
    2,869.31/4,303.96 = 789.32/x
  3. Step 3: Cross multiply
    2,869.31x = 4,303.96 × 789.32
  4. Step 4: Simplify right side
    2,869.31x = 3,397,210.49
  5. Step 5: Solve for x
    x = 3,397,210.49/2,869.31
  6. Step 6: Final answer
    x = 1,183.98

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1.5x scale

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.