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Finding the Fourth Proportional to 3,342.96, 5,014.49 and 1,494.18

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Solution

The fourth proportional to 3,342.96, 5,014.49 and 1,494.18 is: 2,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.96 : 5,014.49 = 1,494.18 : x
  2. Step 2: Convert to fraction form
    3,342.96/5,014.49 = 1,494.18/x
  3. Step 3: Cross multiply
    3,342.96x = 5,014.49 × 1,494.18
  4. Step 4: Simplify right side
    3,342.96x = 7,492,543.20
  5. Step 5: Solve for x
    x = 7,492,543.20/3,342.96
  6. Step 6: Final answer
    x = 2,241.29

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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.