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Finding the Fourth Proportional to 1,456.25, 2,184.98 and 936.09

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Solution

The fourth proportional to 1,456.25, 2,184.98 and 936.09 is: 1,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.25 : 2,184.98 = 936.09 : x
  2. Step 2: Convert to fraction form
    1,456.25/2,184.98 = 936.09/x
  3. Step 3: Cross multiply
    1,456.25x = 2,184.98 × 936.09
  4. Step 4: Simplify right side
    1,456.25x = 2,045,333.25
  5. Step 5: Solve for x
    x = 2,045,333.25/1,456.25
  6. Step 6: Final answer
    x = 1,404.53

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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.