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Finding the Fourth Proportional to 2,473.62, 3,710.88 and 1,241.88

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Solution

The fourth proportional to 2,473.62, 3,710.88 and 1,241.88 is: 1,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.62 : 3,710.88 = 1,241.88 : x
  2. Step 2: Convert to fraction form
    2,473.62/3,710.88 = 1,241.88/x
  3. Step 3: Cross multiply
    2,473.62x = 3,710.88 × 1,241.88
  4. Step 4: Simplify right side
    2,473.62x = 4,608,467.65
  5. Step 5: Solve for x
    x = 4,608,467.65/2,473.62
  6. Step 6: Final answer
    x = 1,863.05

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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.