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Finding the Fourth Proportional to 2,372.49, 3,558.20 and 706.27

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Solution

The fourth proportional to 2,372.49, 3,558.20 and 706.27 is: 1,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.49 : 3,558.20 = 706.27 : x
  2. Step 2: Convert to fraction form
    2,372.49/3,558.20 = 706.27/x
  3. Step 3: Cross multiply
    2,372.49x = 3,558.20 × 706.27
  4. Step 4: Simplify right side
    2,372.49x = 2,513,049.91
  5. Step 5: Solve for x
    x = 2,513,049.91/2,372.49
  6. Step 6: Final answer
    x = 1,059.25

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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.