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Finding the Fourth Proportional to 2,199, 3,294.38 and 1,102.08

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Solution

The fourth proportional to 2,199, 3,294.38 and 1,102.08 is: 1,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199 : 3,294.38 = 1,102.08 : x
  2. Step 2: Convert to fraction form
    2,199/3,294.38 = 1,102.08/x
  3. Step 3: Cross multiply
    2,199x = 3,294.38 × 1,102.08
  4. Step 4: Simplify right side
    2,199x = 3,630,670.31
  5. Step 5: Solve for x
    x = 3,630,670.31/2,199
  6. Step 6: Final answer
    x = 1,651.06

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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.