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Finding the Fourth Proportional to 2,003.80, 3,005.70 and 705.24

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Solution

The fourth proportional to 2,003.80, 3,005.70 and 705.24 is: 1,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.80 : 3,005.70 = 705.24 : x
  2. Step 2: Convert to fraction form
    2,003.80/3,005.70 = 705.24/x
  3. Step 3: Cross multiply
    2,003.80x = 3,005.70 × 705.24
  4. Step 4: Simplify right side
    2,003.80x = 2,119,739.87
  5. Step 5: Solve for x
    x = 2,119,739.87/2,003.80
  6. Step 6: Final answer
    x = 1,057.86

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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.