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Finding the Fourth Proportional to 2,706.91, 3,735.52 and 1,464.91

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Solution

The fourth proportional to 2,706.91, 3,735.52 and 1,464.91 is: 2,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.91 : 3,735.52 = 1,464.91 : x
  2. Step 2: Convert to fraction form
    2,706.91/3,735.52 = 1,464.91/x
  3. Step 3: Cross multiply
    2,706.91x = 3,735.52 × 1,464.91
  4. Step 4: Simplify right side
    2,706.91x = 5,472,200.60
  5. Step 5: Solve for x
    x = 5,472,200.60/2,706.91
  6. Step 6: Final answer
    x = 2,021.57

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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.