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Finding the Fourth Proportional to 2,566.96, 3,846.72 and 1,395.97

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Solution

The fourth proportional to 2,566.96, 3,846.72 and 1,395.97 is: 2,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.96 : 3,846.72 = 1,395.97 : x
  2. Step 2: Convert to fraction form
    2,566.96/3,846.72 = 1,395.97/x
  3. Step 3: Cross multiply
    2,566.96x = 3,846.72 × 1,395.97
  4. Step 4: Simplify right side
    2,566.96x = 5,369,905.72
  5. Step 5: Solve for x
    x = 5,369,905.72/2,566.96
  6. Step 6: Final answer
    x = 2,091.93

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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.