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Finding the Fourth Proportional to 2,701.24, 3,724.01 and 1,706.02

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Solution

The fourth proportional to 2,701.24, 3,724.01 and 1,706.02 is: 2,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.24 : 3,724.01 = 1,706.02 : x
  2. Step 2: Convert to fraction form
    2,701.24/3,724.01 = 1,706.02/x
  3. Step 3: Cross multiply
    2,701.24x = 3,724.01 × 1,706.02
  4. Step 4: Simplify right side
    2,701.24x = 6,353,224.10
  5. Step 5: Solve for x
    x = 6,353,224.10/2,701.24
  6. Step 6: Final answer
    x = 2,351.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.