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Finding the Fourth Proportional to 2,004.38, 3,006.57 and 705.55

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Solution

The fourth proportional to 2,004.38, 3,006.57 and 705.55 is: 1,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.38 : 3,006.57 = 705.55 : x
  2. Step 2: Convert to fraction form
    2,004.38/3,006.57 = 705.55/x
  3. Step 3: Cross multiply
    2,004.38x = 3,006.57 × 705.55
  4. Step 4: Simplify right side
    2,004.38x = 2,121,285.46
  5. Step 5: Solve for x
    x = 2,121,285.46/2,004.38
  6. Step 6: Final answer
    x = 1,058.33

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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.