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Finding the Fourth Proportional to 3,114.74, 4,668.96 and 2,019.80

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Solution

The fourth proportional to 3,114.74, 4,668.96 and 2,019.80 is: 3,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.74 : 4,668.96 = 2,019.80 : x
  2. Step 2: Convert to fraction form
    3,114.74/4,668.96 = 2,019.80/x
  3. Step 3: Cross multiply
    3,114.74x = 4,668.96 × 2,019.80
  4. Step 4: Simplify right side
    3,114.74x = 9,430,365.41
  5. Step 5: Solve for x
    x = 9,430,365.41/3,114.74
  6. Step 6: Final answer
    x = 3,027.66

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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.