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Finding the Fourth Proportional to 2,379.15, 3,569.06 and 735.82

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Solution

The fourth proportional to 2,379.15, 3,569.06 and 735.82 is: 1,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.15 : 3,569.06 = 735.82 : x
  2. Step 2: Convert to fraction form
    2,379.15/3,569.06 = 735.82/x
  3. Step 3: Cross multiply
    2,379.15x = 3,569.06 × 735.82
  4. Step 4: Simplify right side
    2,379.15x = 2,626,186.61
  5. Step 5: Solve for x
    x = 2,626,186.61/2,379.15
  6. Step 6: Final answer
    x = 1,103.84

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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.