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Finding the Fourth Proportional to 2,690.19, 4,035.28 and 742.39

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Solution

The fourth proportional to 2,690.19, 4,035.28 and 742.39 is: 1,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.19 : 4,035.28 = 742.39 : x
  2. Step 2: Convert to fraction form
    2,690.19/4,035.28 = 742.39/x
  3. Step 3: Cross multiply
    2,690.19x = 4,035.28 × 742.39
  4. Step 4: Simplify right side
    2,690.19x = 2,995,751.52
  5. Step 5: Solve for x
    x = 2,995,751.52/2,690.19
  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.