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Finding the Fourth Proportional to 2,969.34, 4,453.36 and 995.25

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Solution

The fourth proportional to 2,969.34, 4,453.36 and 995.25 is: 1,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.34 : 4,453.36 = 995.25 : x
  2. Step 2: Convert to fraction form
    2,969.34/4,453.36 = 995.25/x
  3. Step 3: Cross multiply
    2,969.34x = 4,453.36 × 995.25
  4. Step 4: Simplify right side
    2,969.34x = 4,432,191.08
  5. Step 5: Solve for x
    x = 4,432,191.08/2,969.34
  6. Step 6: Final answer
    x = 1,492.65

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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.