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Finding the Fourth Proportional to 2,003.79, 3,005.22 and 705.26

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Solution

The fourth proportional to 2,003.79, 3,005.22 and 705.26 is: 1,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.79 : 3,005.22 = 705.26 : x
  2. Step 2: Convert to fraction form
    2,003.79/3,005.22 = 705.26/x
  3. Step 3: Cross multiply
    2,003.79x = 3,005.22 × 705.26
  4. Step 4: Simplify right side
    2,003.79x = 2,119,446.43
  5. Step 5: Solve for x
    x = 2,119,446.43/2,003.79
  6. Step 6: Final answer
    x = 1,057.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.