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Finding the Fourth Proportional to 3,112.09, 4,668.13 and 1,651.93

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Solution

The fourth proportional to 3,112.09, 4,668.13 and 1,651.93 is: 2,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.09 : 4,668.13 = 1,651.93 : x
  2. Step 2: Convert to fraction form
    3,112.09/4,668.13 = 1,651.93/x
  3. Step 3: Cross multiply
    3,112.09x = 4,668.13 × 1,651.93
  4. Step 4: Simplify right side
    3,112.09x = 7,711,414.39
  5. Step 5: Solve for x
    x = 7,711,414.39/3,112.09
  6. Step 6: Final answer
    x = 2,477.89

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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.