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Finding the Fourth Proportional to 2,349.56, 3,524.88 and 706.14

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Solution

The fourth proportional to 2,349.56, 3,524.88 and 706.14 is: 1,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.56 : 3,524.88 = 706.14 : x
  2. Step 2: Convert to fraction form
    2,349.56/3,524.88 = 706.14/x
  3. Step 3: Cross multiply
    2,349.56x = 3,524.88 × 706.14
  4. Step 4: Simplify right side
    2,349.56x = 2,489,058.76
  5. Step 5: Solve for x
    x = 2,489,058.76/2,349.56
  6. Step 6: Final answer
    x = 1,059.37

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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.