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Finding the Fourth Proportional to 2,707.54, 4,057.70 and 2,399.74

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Solution

The fourth proportional to 2,707.54, 4,057.70 and 2,399.74 is: 3,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.54 : 4,057.70 = 2,399.74 : x
  2. Step 2: Convert to fraction form
    2,707.54/4,057.70 = 2,399.74/x
  3. Step 3: Cross multiply
    2,707.54x = 4,057.70 × 2,399.74
  4. Step 4: Simplify right side
    2,707.54x = 9,737,425.00
  5. Step 5: Solve for x
    x = 9,737,425.00/2,707.54
  6. Step 6: Final answer
    x = 3,596.41

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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.