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Finding the Fourth Proportional to 2,932.86, 4,400.46 and 985.62

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Solution

The fourth proportional to 2,932.86, 4,400.46 and 985.62 is: 1,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.86 : 4,400.46 = 985.62 : x
  2. Step 2: Convert to fraction form
    2,932.86/4,400.46 = 985.62/x
  3. Step 3: Cross multiply
    2,932.86x = 4,400.46 × 985.62
  4. Step 4: Simplify right side
    2,932.86x = 4,337,181.39
  5. Step 5: Solve for x
    x = 4,337,181.39/2,932.86
  6. Step 6: Final answer
    x = 1,478.82

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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.