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Finding the Fourth Proportional to 3,601.50, 4,970.07 and 2,204.25

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Solution

The fourth proportional to 3,601.50, 4,970.07 and 2,204.25 is: 3,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.50 : 4,970.07 = 2,204.25 : x
  2. Step 2: Convert to fraction form
    3,601.50/4,970.07 = 2,204.25/x
  3. Step 3: Cross multiply
    3,601.50x = 4,970.07 × 2,204.25
  4. Step 4: Simplify right side
    3,601.50x = 10,955,276.80
  5. Step 5: Solve for x
    x = 10,955,276.80/3,601.50
  6. Step 6: Final answer
    x = 3,041.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.