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Finding the Fourth Proportional to 2,974.65, 4,458.74 and 1,241.25

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Solution

The fourth proportional to 2,974.65, 4,458.74 and 1,241.25 is: 1,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.65 : 4,458.74 = 1,241.25 : x
  2. Step 2: Convert to fraction form
    2,974.65/4,458.74 = 1,241.25/x
  3. Step 3: Cross multiply
    2,974.65x = 4,458.74 × 1,241.25
  4. Step 4: Simplify right side
    2,974.65x = 5,534,404.82
  5. Step 5: Solve for x
    x = 5,534,404.82/2,974.65
  6. Step 6: Final answer
    x = 1,860.52

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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.