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Finding the Fourth Proportional to 2,706.18, 3,730.81 and 1,710.96

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Solution

The fourth proportional to 2,706.18, 3,730.81 and 1,710.96 is: 2,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.18 : 3,730.81 = 1,710.96 : x
  2. Step 2: Convert to fraction form
    2,706.18/3,730.81 = 1,710.96/x
  3. Step 3: Cross multiply
    2,706.18x = 3,730.81 × 1,710.96
  4. Step 4: Simplify right side
    2,706.18x = 6,383,266.68
  5. Step 5: Solve for x
    x = 6,383,266.68/2,706.18
  6. Step 6: Final answer
    x = 2,358.77

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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.