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Finding the Fourth Proportional to 2,003.80, 3,005.68 and 705.28

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Solution

The fourth proportional to 2,003.80, 3,005.68 and 705.28 is: 1,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.80 : 3,005.68 = 705.28 : x
  2. Step 2: Convert to fraction form
    2,003.80/3,005.68 = 705.28/x
  3. Step 3: Cross multiply
    2,003.80x = 3,005.68 × 705.28
  4. Step 4: Simplify right side
    2,003.80x = 2,119,845.99
  5. Step 5: Solve for x
    x = 2,119,845.99/2,003.80
  6. Step 6: Final answer
    x = 1,057.91

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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.