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Finding the Fourth Proportional to 2,690.26, 4,035.28 and 742.41

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Solution

The fourth proportional to 2,690.26, 4,035.28 and 742.41 is: 1,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.26 : 4,035.28 = 742.41 : x
  2. Step 2: Convert to fraction form
    2,690.26/4,035.28 = 742.41/x
  3. Step 3: Cross multiply
    2,690.26x = 4,035.28 × 742.41
  4. Step 4: Simplify right side
    2,690.26x = 2,995,832.22
  5. Step 5: Solve for x
    x = 2,995,832.22/2,690.26
  6. Step 6: Final answer
    x = 1,113.58

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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.