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Finding the Fourth Proportional to 3,112.62, 4,295.20 and 1,853.76

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Solution

The fourth proportional to 3,112.62, 4,295.20 and 1,853.76 is: 2,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.62 : 4,295.20 = 1,853.76 : x
  2. Step 2: Convert to fraction form
    3,112.62/4,295.20 = 1,853.76/x
  3. Step 3: Cross multiply
    3,112.62x = 4,295.20 × 1,853.76
  4. Step 4: Simplify right side
    3,112.62x = 7,962,265.32
  5. Step 5: Solve for x
    x = 7,962,265.32/3,112.62
  6. Step 6: Final answer
    x = 2,558.06

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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.