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Finding the Fourth Proportional to 4,125.90, 6,189.80 and 1,660.80

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Solution

The fourth proportional to 4,125.90, 6,189.80 and 1,660.80 is: 2,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.90 : 6,189.80 = 1,660.80 : x
  2. Step 2: Convert to fraction form
    4,125.90/6,189.80 = 1,660.80/x
  3. Step 3: Cross multiply
    4,125.90x = 6,189.80 × 1,660.80
  4. Step 4: Simplify right side
    4,125.90x = 10,280,019.84
  5. Step 5: Solve for x
    x = 10,280,019.84/4,125.90
  6. Step 6: Final answer
    x = 2,491.58

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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.