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Finding the Fourth Proportional to 1,531.91, 2,297.75 and 436.25

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Solution

The fourth proportional to 1,531.91, 2,297.75 and 436.25 is: 654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.91 : 2,297.75 = 436.25 : x
  2. Step 2: Convert to fraction form
    1,531.91/2,297.75 = 436.25/x
  3. Step 3: Cross multiply
    1,531.91x = 2,297.75 × 436.25
  4. Step 4: Simplify right side
    1,531.91x = 1,002,379.77
  5. Step 5: Solve for x
    x = 1,002,379.77/1,531.91
  6. Step 6: Final answer
    x = 654.34

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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.