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Finding the Fourth Proportional to 3,011.87, 4,157.49 and 2,267.98

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Solution

The fourth proportional to 3,011.87, 4,157.49 and 2,267.98 is: 3,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.87 : 4,157.49 = 2,267.98 : x
  2. Step 2: Convert to fraction form
    3,011.87/4,157.49 = 2,267.98/x
  3. Step 3: Cross multiply
    3,011.87x = 4,157.49 × 2,267.98
  4. Step 4: Simplify right side
    3,011.87x = 9,429,104.17
  5. Step 5: Solve for x
    x = 9,429,104.17/3,011.87
  6. Step 6: Final answer
    x = 3,130.65

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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.