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Finding the Fourth Proportional to 2,322.66, 3,202.02 and 1,658.46

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Solution

The fourth proportional to 2,322.66, 3,202.02 and 1,658.46 is: 2,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.66 : 3,202.02 = 1,658.46 : x
  2. Step 2: Convert to fraction form
    2,322.66/3,202.02 = 1,658.46/x
  3. Step 3: Cross multiply
    2,322.66x = 3,202.02 × 1,658.46
  4. Step 4: Simplify right side
    2,322.66x = 5,310,422.09
  5. Step 5: Solve for x
    x = 5,310,422.09/2,322.66
  6. Step 6: Final answer
    x = 2,286.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.