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Finding the Fourth Proportional to 1,841.25, 2,761.47 and 608.37

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Solution

The fourth proportional to 1,841.25, 2,761.47 and 608.37 is: 912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.25 : 2,761.47 = 608.37 : x
  2. Step 2: Convert to fraction form
    1,841.25/2,761.47 = 608.37/x
  3. Step 3: Cross multiply
    1,841.25x = 2,761.47 × 608.37
  4. Step 4: Simplify right side
    1,841.25x = 1,679,981.70
  5. Step 5: Solve for x
    x = 1,679,981.70/1,841.25
  6. Step 6: Final answer
    x = 912.42

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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.