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Finding the Fourth Proportional to 2,004, 3,005.28 and 705.12

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Solution

The fourth proportional to 2,004, 3,005.28 and 705.12 is: 1,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004 : 3,005.28 = 705.12 : x
  2. Step 2: Convert to fraction form
    2,004/3,005.28 = 705.12/x
  3. Step 3: Cross multiply
    2,004x = 3,005.28 × 705.12
  4. Step 4: Simplify right side
    2,004x = 2,119,083.03
  5. Step 5: Solve for x
    x = 2,119,083.03/2,004
  6. Step 6: Final answer
    x = 1,057.43

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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.