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Finding the Fourth Proportional to 2,685.90, 4,021.56 and 1,384.80

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Solution

The fourth proportional to 2,685.90, 4,021.56 and 1,384.80 is: 2,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.90 : 4,021.56 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    2,685.90/4,021.56 = 1,384.80/x
  3. Step 3: Cross multiply
    2,685.90x = 4,021.56 × 1,384.80
  4. Step 4: Simplify right side
    2,685.90x = 5,569,056.29
  5. Step 5: Solve for x
    x = 5,569,056.29/2,685.90
  6. Step 6: Final answer
    x = 2,073.44

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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.