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Finding the Fourth Proportional to 2,690.58, 4,035.87 and 742.78

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Solution

The fourth proportional to 2,690.58, 4,035.87 and 742.78 is: 1,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.58 : 4,035.87 = 742.78 : x
  2. Step 2: Convert to fraction form
    2,690.58/4,035.87 = 742.78/x
  3. Step 3: Cross multiply
    2,690.58x = 4,035.87 × 742.78
  4. Step 4: Simplify right side
    2,690.58x = 2,997,768.56
  5. Step 5: Solve for x
    x = 2,997,768.56/2,690.58
  6. Step 6: Final answer
    x = 1,114.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.