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Finding the Fourth Proportional to 1,396.34, 2,092.53 and 1,102.55

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Solution

The fourth proportional to 1,396.34, 2,092.53 and 1,102.55 is: 1,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.34 : 2,092.53 = 1,102.55 : x
  2. Step 2: Convert to fraction form
    1,396.34/2,092.53 = 1,102.55/x
  3. Step 3: Cross multiply
    1,396.34x = 2,092.53 × 1,102.55
  4. Step 4: Simplify right side
    1,396.34x = 2,307,112.62
  5. Step 5: Solve for x
    x = 2,307,112.62/1,396.34
  6. Step 6: Final answer
    x = 1,652.26

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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.