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Finding the Fourth Proportional to 2,003.94, 3,005.84 and 705.38

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Solution

The fourth proportional to 2,003.94, 3,005.84 and 705.38 is: 1,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.94 : 3,005.84 = 705.38 : x
  2. Step 2: Convert to fraction form
    2,003.94/3,005.84 = 705.38/x
  3. Step 3: Cross multiply
    2,003.94x = 3,005.84 × 705.38
  4. Step 4: Simplify right side
    2,003.94x = 2,120,246.15
  5. Step 5: Solve for x
    x = 2,120,246.15/2,003.94
  6. Step 6: Final answer
    x = 1,058.04

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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.