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Finding the Fourth Proportional to 2,599.49, 3,895.56 and 2,011.76

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Solution

The fourth proportional to 2,599.49, 3,895.56 and 2,011.76 is: 3,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.49 : 3,895.56 = 2,011.76 : x
  2. Step 2: Convert to fraction form
    2,599.49/3,895.56 = 2,011.76/x
  3. Step 3: Cross multiply
    2,599.49x = 3,895.56 × 2,011.76
  4. Step 4: Simplify right side
    2,599.49x = 7,836,921.14
  5. Step 5: Solve for x
    x = 7,836,921.14/2,599.49
  6. Step 6: Final answer
    x = 3,014.79

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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.