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Finding the Fourth Proportional to 2,068.56, 3,106.04 and 1,583.44

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Solution

The fourth proportional to 2,068.56, 3,106.04 and 1,583.44 is: 2,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.56 : 3,106.04 = 1,583.44 : x
  2. Step 2: Convert to fraction form
    2,068.56/3,106.04 = 1,583.44/x
  3. Step 3: Cross multiply
    2,068.56x = 3,106.04 × 1,583.44
  4. Step 4: Simplify right side
    2,068.56x = 4,918,227.98
  5. Step 5: Solve for x
    x = 4,918,227.98/2,068.56
  6. Step 6: Final answer
    x = 2,377.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.