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Finding the Fourth Proportional to 2,204.74, 3,300 and 1,216

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Solution

The fourth proportional to 2,204.74, 3,300 and 1,216 is: 1,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.74 : 3,300 = 1,216 : x
  2. Step 2: Convert to fraction form
    2,204.74/3,300 = 1,216/x
  3. Step 3: Cross multiply
    2,204.74x = 3,300 × 1,216
  4. Step 4: Simplify right side
    2,204.74x = 4,012,800
  5. Step 5: Solve for x
    x = 4,012,800/2,204.74
  6. Step 6: Final answer
    x = 1,820.08

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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.