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Finding the Fourth Proportional to 3,429.84, 4,731.08 and 2,185.68

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Solution

The fourth proportional to 3,429.84, 4,731.08 and 2,185.68 is: 3,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.84 : 4,731.08 = 2,185.68 : x
  2. Step 2: Convert to fraction form
    3,429.84/4,731.08 = 2,185.68/x
  3. Step 3: Cross multiply
    3,429.84x = 4,731.08 × 2,185.68
  4. Step 4: Simplify right side
    3,429.84x = 10,340,626.93
  5. Step 5: Solve for x
    x = 10,340,626.93/3,429.84
  6. Step 6: Final answer
    x = 3,014.90

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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.