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Finding the Fourth Proportional to 2,045.21, 3,067.76 and 658.64

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Solution

The fourth proportional to 2,045.21, 3,067.76 and 658.64 is: 987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.21 : 3,067.76 = 658.64 : x
  2. Step 2: Convert to fraction form
    2,045.21/3,067.76 = 658.64/x
  3. Step 3: Cross multiply
    2,045.21x = 3,067.76 × 658.64
  4. Step 4: Simplify right side
    2,045.21x = 2,020,530.81
  5. Step 5: Solve for x
    x = 2,020,530.81/2,045.21
  6. Step 6: Final answer
    x = 987.94

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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.