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Finding the Fourth Proportional to 3,066.16, 4,599.22 and 757.68

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Solution

The fourth proportional to 3,066.16, 4,599.22 and 757.68 is: 1,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.16 : 4,599.22 = 757.68 : x
  2. Step 2: Convert to fraction form
    3,066.16/4,599.22 = 757.68/x
  3. Step 3: Cross multiply
    3,066.16x = 4,599.22 × 757.68
  4. Step 4: Simplify right side
    3,066.16x = 3,484,737.01
  5. Step 5: Solve for x
    x = 3,484,737.01/3,066.16
  6. Step 6: Final answer
    x = 1,136.52

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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.