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Finding the Fourth Proportional to 2,349.42, 3,524.32 and 705.97

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Solution

The fourth proportional to 2,349.42, 3,524.32 and 705.97 is: 1,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.42 : 3,524.32 = 705.97 : x
  2. Step 2: Convert to fraction form
    2,349.42/3,524.32 = 705.97/x
  3. Step 3: Cross multiply
    2,349.42x = 3,524.32 × 705.97
  4. Step 4: Simplify right side
    2,349.42x = 2,488,064.19
  5. Step 5: Solve for x
    x = 2,488,064.19/2,349.42
  6. Step 6: Final answer
    x = 1,059.01

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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.