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Finding the Fourth Proportional to 2,658.03, 3,987.50 and 809.33

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Solution

The fourth proportional to 2,658.03, 3,987.50 and 809.33 is: 1,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.03 : 3,987.50 = 809.33 : x
  2. Step 2: Convert to fraction form
    2,658.03/3,987.50 = 809.33/x
  3. Step 3: Cross multiply
    2,658.03x = 3,987.50 × 809.33
  4. Step 4: Simplify right side
    2,658.03x = 3,227,203.38
  5. Step 5: Solve for x
    x = 3,227,203.38/2,658.03
  6. Step 6: Final answer
    x = 1,214.13

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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.