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Finding the Fourth Proportional to 2,382.50, 3,573.70 and 995.81

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Solution

The fourth proportional to 2,382.50, 3,573.70 and 995.81 is: 1,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.50 : 3,573.70 = 995.81 : x
  2. Step 2: Convert to fraction form
    2,382.50/3,573.70 = 995.81/x
  3. Step 3: Cross multiply
    2,382.50x = 3,573.70 × 995.81
  4. Step 4: Simplify right side
    2,382.50x = 3,558,705.84
  5. Step 5: Solve for x
    x = 3,558,705.84/2,382.50
  6. Step 6: Final answer
    x = 1,493.68

Related Problems

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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.