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Finding the Fourth Proportional to 2,199.46, 3,299.19 and 556

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Solution

The fourth proportional to 2,199.46, 3,299.19 and 556 is: 834

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.46 : 3,299.19 = 556 : x
  2. Step 2: Convert to fraction form
    2,199.46/3,299.19 = 556/x
  3. Step 3: Cross multiply
    2,199.46x = 3,299.19 × 556
  4. Step 4: Simplify right side
    2,199.46x = 1,834,349.64
  5. Step 5: Solve for x
    x = 1,834,349.64/2,199.46
  6. Step 6: Final answer
    x = 834

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.