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Finding the Fourth Proportional to 3,114.62, 4,293.75 and 2,230.10

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Solution

The fourth proportional to 3,114.62, 4,293.75 and 2,230.10 is: 3,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.62 : 4,293.75 = 2,230.10 : x
  2. Step 2: Convert to fraction form
    3,114.62/4,293.75 = 2,230.10/x
  3. Step 3: Cross multiply
    3,114.62x = 4,293.75 × 2,230.10
  4. Step 4: Simplify right side
    3,114.62x = 9,575,491.88
  5. Step 5: Solve for x
    x = 9,575,491.88/3,114.62
  6. Step 6: Final answer
    x = 3,074.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.