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Finding the Fourth Proportional to 2,494.35, 3,741.39 and 1,191.87

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Solution

The fourth proportional to 2,494.35, 3,741.39 and 1,191.87 is: 1,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.35 : 3,741.39 = 1,191.87 : x
  2. Step 2: Convert to fraction form
    2,494.35/3,741.39 = 1,191.87/x
  3. Step 3: Cross multiply
    2,494.35x = 3,741.39 × 1,191.87
  4. Step 4: Simplify right side
    2,494.35x = 4,459,250.50
  5. Step 5: Solve for x
    x = 4,459,250.50/2,494.35
  6. Step 6: Final answer
    x = 1,787.74

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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.