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Finding the Fourth Proportional to 1,497.82, 2,246.73 and 978.25

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Solution

The fourth proportional to 1,497.82, 2,246.73 and 978.25 is: 1,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.82 : 2,246.73 = 978.25 : x
  2. Step 2: Convert to fraction form
    1,497.82/2,246.73 = 978.25/x
  3. Step 3: Cross multiply
    1,497.82x = 2,246.73 × 978.25
  4. Step 4: Simplify right side
    1,497.82x = 2,197,863.62
  5. Step 5: Solve for x
    x = 2,197,863.62/1,497.82
  6. Step 6: Final answer
    x = 1,467.38

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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.