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Finding the Fourth Proportional to 2,349.73, 3,523.97 and 705.91

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Solution

The fourth proportional to 2,349.73, 3,523.97 and 705.91 is: 1,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.73 : 3,523.97 = 705.91 : x
  2. Step 2: Convert to fraction form
    2,349.73/3,523.97 = 705.91/x
  3. Step 3: Cross multiply
    2,349.73x = 3,523.97 × 705.91
  4. Step 4: Simplify right side
    2,349.73x = 2,487,602.13
  5. Step 5: Solve for x
    x = 2,487,602.13/2,349.73
  6. Step 6: Final answer
    x = 1,058.68

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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.