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Finding the Fourth Proportional to 1,522.25, 2,100.69 and 893.11

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Solution

The fourth proportional to 1,522.25, 2,100.69 and 893.11 is: 1,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.25 : 2,100.69 = 893.11 : x
  2. Step 2: Convert to fraction form
    1,522.25/2,100.69 = 893.11/x
  3. Step 3: Cross multiply
    1,522.25x = 2,100.69 × 893.11
  4. Step 4: Simplify right side
    1,522.25x = 1,876,147.25
  5. Step 5: Solve for x
    x = 1,876,147.25/1,522.25
  6. Step 6: Final answer
    x = 1,232.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.