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Finding the Fourth Proportional to 2,557.06, 3,836.20 and 913.48

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Solution

The fourth proportional to 2,557.06, 3,836.20 and 913.48 is: 1,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.06 : 3,836.20 = 913.48 : x
  2. Step 2: Convert to fraction form
    2,557.06/3,836.20 = 913.48/x
  3. Step 3: Cross multiply
    2,557.06x = 3,836.20 × 913.48
  4. Step 4: Simplify right side
    2,557.06x = 3,504,291.98
  5. Step 5: Solve for x
    x = 3,504,291.98/2,557.06
  6. Step 6: Final answer
    x = 1,370.44

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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.