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Finding the Fourth Proportional to 2,199.84, 3,297.82 and 1,102.64

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Solution

The fourth proportional to 2,199.84, 3,297.82 and 1,102.64 is: 1,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.84 : 3,297.82 = 1,102.64 : x
  2. Step 2: Convert to fraction form
    2,199.84/3,297.82 = 1,102.64/x
  3. Step 3: Cross multiply
    2,199.84x = 3,297.82 × 1,102.64
  4. Step 4: Simplify right side
    2,199.84x = 3,636,308.24
  5. Step 5: Solve for x
    x = 3,636,308.24/2,199.84
  6. Step 6: Final answer
    x = 1,652.99

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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.