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Finding the Fourth Proportional to 2,382.86, 3,574.11 and 995.69

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Solution

The fourth proportional to 2,382.86, 3,574.11 and 995.69 is: 1,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.86 : 3,574.11 = 995.69 : x
  2. Step 2: Convert to fraction form
    2,382.86/3,574.11 = 995.69/x
  3. Step 3: Cross multiply
    2,382.86x = 3,574.11 × 995.69
  4. Step 4: Simplify right side
    2,382.86x = 3,558,705.59
  5. Step 5: Solve for x
    x = 3,558,705.59/2,382.86
  6. Step 6: Final answer
    x = 1,493.46

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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.