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Finding the Fourth Proportional to 2,599.53, 3,900.78 and 955.86

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Solution

The fourth proportional to 2,599.53, 3,900.78 and 955.86 is: 1,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.53 : 3,900.78 = 955.86 : x
  2. Step 2: Convert to fraction form
    2,599.53/3,900.78 = 955.86/x
  3. Step 3: Cross multiply
    2,599.53x = 3,900.78 × 955.86
  4. Step 4: Simplify right side
    2,599.53x = 3,728,599.57
  5. Step 5: Solve for x
    x = 3,728,599.57/2,599.53
  6. Step 6: Final answer
    x = 1,434.34

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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.