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Finding the Fourth Proportional to 2,004.50, 3,006.72 and 705.94

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Solution

The fourth proportional to 2,004.50, 3,006.72 and 705.94 is: 1,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.50 : 3,006.72 = 705.94 : x
  2. Step 2: Convert to fraction form
    2,004.50/3,006.72 = 705.94/x
  3. Step 3: Cross multiply
    2,004.50x = 3,006.72 × 705.94
  4. Step 4: Simplify right side
    2,004.50x = 2,122,556.40
  5. Step 5: Solve for x
    x = 2,122,556.40/2,004.50
  6. Step 6: Final answer
    x = 1,058.89

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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.