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Finding the Fourth Proportional to 2,349.40, 3,524.28 and 705.82

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Solution

The fourth proportional to 2,349.40, 3,524.28 and 705.82 is: 1,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.40 : 3,524.28 = 705.82 : x
  2. Step 2: Convert to fraction form
    2,349.40/3,524.28 = 705.82/x
  3. Step 3: Cross multiply
    2,349.40x = 3,524.28 × 705.82
  4. Step 4: Simplify right side
    2,349.40x = 2,487,507.31
  5. Step 5: Solve for x
    x = 2,487,507.31/2,349.40
  6. Step 6: Final answer
    x = 1,058.78

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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.