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Finding the Fourth Proportional to 3,066.86, 4,600.20 and 758.36

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Solution

The fourth proportional to 3,066.86, 4,600.20 and 758.36 is: 1,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.86 : 4,600.20 = 758.36 : x
  2. Step 2: Convert to fraction form
    3,066.86/4,600.20 = 758.36/x
  3. Step 3: Cross multiply
    3,066.86x = 4,600.20 × 758.36
  4. Step 4: Simplify right side
    3,066.86x = 3,488,607.67
  5. Step 5: Solve for x
    x = 3,488,607.67/3,066.86
  6. Step 6: Final answer
    x = 1,137.52

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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.