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Finding the Fourth Proportional to 1,665.96, 2,497.14 and 822.24

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Solution

The fourth proportional to 1,665.96, 2,497.14 and 822.24 is: 1,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.96 : 2,497.14 = 822.24 : x
  2. Step 2: Convert to fraction form
    1,665.96/2,497.14 = 822.24/x
  3. Step 3: Cross multiply
    1,665.96x = 2,497.14 × 822.24
  4. Step 4: Simplify right side
    1,665.96x = 2,053,248.39
  5. Step 5: Solve for x
    x = 2,053,248.39/1,665.96
  6. Step 6: Final answer
    x = 1,232.47

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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.