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Finding the Fourth Proportional to 1,122.12, 1,679.72 and 1,026.44

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Solution

The fourth proportional to 1,122.12, 1,679.72 and 1,026.44 is: 1,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.12 : 1,679.72 = 1,026.44 : x
  2. Step 2: Convert to fraction form
    1,122.12/1,679.72 = 1,026.44/x
  3. Step 3: Cross multiply
    1,122.12x = 1,679.72 × 1,026.44
  4. Step 4: Simplify right side
    1,122.12x = 1,724,118.27
  5. Step 5: Solve for x
    x = 1,724,118.27/1,122.12
  6. Step 6: Final answer
    x = 1,536.48

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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.