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Finding the Fourth Proportional to 2,486.35, 3,727.20 and 841.74

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Solution

The fourth proportional to 2,486.35, 3,727.20 and 841.74 is: 1,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.35 : 3,727.20 = 841.74 : x
  2. Step 2: Convert to fraction form
    2,486.35/3,727.20 = 841.74/x
  3. Step 3: Cross multiply
    2,486.35x = 3,727.20 × 841.74
  4. Step 4: Simplify right side
    2,486.35x = 3,137,338.74
  5. Step 5: Solve for x
    x = 3,137,338.74/2,486.35
  6. Step 6: Final answer
    x = 1,261.83

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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.