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Finding the Fourth Proportional to 3,144.84, 4,332.56 and 2,199.14

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Solution

The fourth proportional to 3,144.84, 4,332.56 and 2,199.14 is: 3,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.84 : 4,332.56 = 2,199.14 : x
  2. Step 2: Convert to fraction form
    3,144.84/4,332.56 = 2,199.14/x
  3. Step 3: Cross multiply
    3,144.84x = 4,332.56 × 2,199.14
  4. Step 4: Simplify right side
    3,144.84x = 9,527,873.34
  5. Step 5: Solve for x
    x = 9,527,873.34/3,144.84
  6. Step 6: Final answer
    x = 3,029.68

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