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Finding the Fourth Proportional to 3,298.15, 4,947.21 and 832.97

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Solution

The fourth proportional to 3,298.15, 4,947.21 and 832.97 is: 1,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.15 : 4,947.21 = 832.97 : x
  2. Step 2: Convert to fraction form
    3,298.15/4,947.21 = 832.97/x
  3. Step 3: Cross multiply
    3,298.15x = 4,947.21 × 832.97
  4. Step 4: Simplify right side
    3,298.15x = 4,120,877.51
  5. Step 5: Solve for x
    x = 4,120,877.51/3,298.15
  6. Step 6: Final answer
    x = 1,249.45

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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.