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Finding the Fourth Proportional to 2,756.69, 4,130.22 and 2,297.42

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Solution

The fourth proportional to 2,756.69, 4,130.22 and 2,297.42 is: 3,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.69 : 4,130.22 = 2,297.42 : x
  2. Step 2: Convert to fraction form
    2,756.69/4,130.22 = 2,297.42/x
  3. Step 3: Cross multiply
    2,756.69x = 4,130.22 × 2,297.42
  4. Step 4: Simplify right side
    2,756.69x = 9,488,850.03
  5. Step 5: Solve for x
    x = 9,488,850.03/2,756.69
  6. Step 6: Final answer
    x = 3,442.12

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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.