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Finding the Fourth Proportional to 2,349.72, 3,525.17 and 706.30

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Solution

The fourth proportional to 2,349.72, 3,525.17 and 706.30 is: 1,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.72 : 3,525.17 = 706.30 : x
  2. Step 2: Convert to fraction form
    2,349.72/3,525.17 = 706.30/x
  3. Step 3: Cross multiply
    2,349.72x = 3,525.17 × 706.30
  4. Step 4: Simplify right side
    2,349.72x = 2,489,815.23
  5. Step 5: Solve for x
    x = 2,489,815.23/2,349.72
  6. Step 6: Final answer
    x = 1,059.62

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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.