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Finding the Fourth Proportional to 2,599.20, 3,900.78 and 957.30

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Solution

The fourth proportional to 2,599.20, 3,900.78 and 957.30 is: 1,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.20 : 3,900.78 = 957.30 : x
  2. Step 2: Convert to fraction form
    2,599.20/3,900.78 = 957.30/x
  3. Step 3: Cross multiply
    2,599.20x = 3,900.78 × 957.30
  4. Step 4: Simplify right side
    2,599.20x = 3,734,216.69
  5. Step 5: Solve for x
    x = 3,734,216.69/2,599.20
  6. Step 6: Final answer
    x = 1,436.68

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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.