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Finding the Fourth Proportional to 1,531.81, 2,297.87 and 436.34

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Solution

The fourth proportional to 1,531.81, 2,297.87 and 436.34 is: 654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.81 : 2,297.87 = 436.34 : x
  2. Step 2: Convert to fraction form
    1,531.81/2,297.87 = 436.34/x
  3. Step 3: Cross multiply
    1,531.81x = 2,297.87 × 436.34
  4. Step 4: Simplify right side
    1,531.81x = 1,002,644.87
  5. Step 5: Solve for x
    x = 1,002,644.87/1,531.81
  6. Step 6: Final answer
    x = 654.55

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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.