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Finding the Fourth Proportional to 2,293.50, 3,440.88 and 995.16

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Solution

The fourth proportional to 2,293.50, 3,440.88 and 995.16 is: 1,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.50 : 3,440.88 = 995.16 : x
  2. Step 2: Convert to fraction form
    2,293.50/3,440.88 = 995.16/x
  3. Step 3: Cross multiply
    2,293.50x = 3,440.88 × 995.16
  4. Step 4: Simplify right side
    2,293.50x = 3,424,226.14
  5. Step 5: Solve for x
    x = 3,424,226.14/2,293.50
  6. Step 6: Final answer
    x = 1,493.01

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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.