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Finding the Fourth Proportional to 2,204, 3,041.52 and 1,272.50

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Solution

The fourth proportional to 2,204, 3,041.52 and 1,272.50 is: 1,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204 : 3,041.52 = 1,272.50 : x
  2. Step 2: Convert to fraction form
    2,204/3,041.52 = 1,272.50/x
  3. Step 3: Cross multiply
    2,204x = 3,041.52 × 1,272.50
  4. Step 4: Simplify right side
    2,204x = 3,870,334.20
  5. Step 5: Solve for x
    x = 3,870,334.20/2,204
  6. Step 6: Final answer
    x = 1,756.05

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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.