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Finding the Fourth Proportional to 3,384.90, 4,666.20 and 2,189.80

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Solution

The fourth proportional to 3,384.90, 4,666.20 and 2,189.80 is: 3,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.90 : 4,666.20 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    3,384.90/4,666.20 = 2,189.80/x
  3. Step 3: Cross multiply
    3,384.90x = 4,666.20 × 2,189.80
  4. Step 4: Simplify right side
    3,384.90x = 10,218,044.76
  5. Step 5: Solve for x
    x = 10,218,044.76/3,384.90
  6. Step 6: Final answer
    x = 3,018.71

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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.