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Finding the Fourth Proportional to 3,066.34, 4,599.53 and 757.84

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Solution

The fourth proportional to 3,066.34, 4,599.53 and 757.84 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.34 : 4,599.53 = 757.84 : x
  2. Step 2: Convert to fraction form
    3,066.34/4,599.53 = 757.84/x
  3. Step 3: Cross multiply
    3,066.34x = 4,599.53 × 757.84
  4. Step 4: Simplify right side
    3,066.34x = 3,485,707.82
  5. Step 5: Solve for x
    x = 3,485,707.82/3,066.34
  6. Step 6: Final answer
    x = 1,136.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.