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Finding the Fourth Proportional to 3,384.54, 4,667.76 and 2,189.70

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Solution

The fourth proportional to 3,384.54, 4,667.76 and 2,189.70 is: 3,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.54 : 4,667.76 = 2,189.70 : x
  2. Step 2: Convert to fraction form
    3,384.54/4,667.76 = 2,189.70/x
  3. Step 3: Cross multiply
    3,384.54x = 4,667.76 × 2,189.70
  4. Step 4: Simplify right side
    3,384.54x = 10,220,994.07
  5. Step 5: Solve for x
    x = 10,220,994.07/3,384.54
  6. Step 6: Final answer
    x = 3,019.91

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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.