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Finding the Fourth Proportional to 3,112.90, 4,295.74 and 1,696.59

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Solution

The fourth proportional to 3,112.90, 4,295.74 and 1,696.59 is: 2,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.90 : 4,295.74 = 1,696.59 : x
  2. Step 2: Convert to fraction form
    3,112.90/4,295.74 = 1,696.59/x
  3. Step 3: Cross multiply
    3,112.90x = 4,295.74 × 1,696.59
  4. Step 4: Simplify right side
    3,112.90x = 7,288,105.29
  5. Step 5: Solve for x
    x = 7,288,105.29/3,112.90
  6. Step 6: Final answer
    x = 2,341.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.