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Finding the Fourth Proportional to 2,473.82, 3,710.75 and 1,012.97

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Solution

The fourth proportional to 2,473.82, 3,710.75 and 1,012.97 is: 1,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.82 : 3,710.75 = 1,012.97 : x
  2. Step 2: Convert to fraction form
    2,473.82/3,710.75 = 1,012.97/x
  3. Step 3: Cross multiply
    2,473.82x = 3,710.75 × 1,012.97
  4. Step 4: Simplify right side
    2,473.82x = 3,758,873.36
  5. Step 5: Solve for x
    x = 3,758,873.36/2,473.82
  6. Step 6: Final answer
    x = 1,519.46

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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.