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Finding the Fourth Proportional to 3,112.97, 4,668.23 and 1,358.51

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Solution

The fourth proportional to 3,112.97, 4,668.23 and 1,358.51 is: 2,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.97 : 4,668.23 = 1,358.51 : x
  2. Step 2: Convert to fraction form
    3,112.97/4,668.23 = 1,358.51/x
  3. Step 3: Cross multiply
    3,112.97x = 4,668.23 × 1,358.51
  4. Step 4: Simplify right side
    3,112.97x = 6,341,817.19
  5. Step 5: Solve for x
    x = 6,341,817.19/3,112.97
  6. Step 6: Final answer
    x = 2,037.23

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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.