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Finding the Fourth Proportional to 1,531.82, 2,297.73 and 377.57

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Solution

The fourth proportional to 1,531.82, 2,297.73 and 377.57 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.82 : 2,297.73 = 377.57 : x
  2. Step 2: Convert to fraction form
    1,531.82/2,297.73 = 377.57/x
  3. Step 3: Cross multiply
    1,531.82x = 2,297.73 × 377.57
  4. Step 4: Simplify right side
    1,531.82x = 867,553.92
  5. Step 5: Solve for x
    x = 867,553.92/1,531.82
  6. Step 6: Final answer
    x = 566.36

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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.