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Finding the Fourth Proportional to 2,439.26, 3,659.01 and 708.02

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Solution

The fourth proportional to 2,439.26, 3,659.01 and 708.02 is: 1,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.26 : 3,659.01 = 708.02 : x
  2. Step 2: Convert to fraction form
    2,439.26/3,659.01 = 708.02/x
  3. Step 3: Cross multiply
    2,439.26x = 3,659.01 × 708.02
  4. Step 4: Simplify right side
    2,439.26x = 2,590,652.26
  5. Step 5: Solve for x
    x = 2,590,652.26/2,439.26
  6. Step 6: Final answer
    x = 1,062.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.