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Finding the Fourth Proportional to 2,294.09, 3,440.52 and 995.25

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Solution

The fourth proportional to 2,294.09, 3,440.52 and 995.25 is: 1,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.09 : 3,440.52 = 995.25 : x
  2. Step 2: Convert to fraction form
    2,294.09/3,440.52 = 995.25/x
  3. Step 3: Cross multiply
    2,294.09x = 3,440.52 × 995.25
  4. Step 4: Simplify right side
    2,294.09x = 3,424,177.53
  5. Step 5: Solve for x
    x = 3,424,177.53/2,294.09
  6. Step 6: Final answer
    x = 1,492.61

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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.