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Finding the Fourth Proportional to 2,005.21, 3,007.41 and 580.02

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Solution

The fourth proportional to 2,005.21, 3,007.41 and 580.02 is: 869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.21 : 3,007.41 = 580.02 : x
  2. Step 2: Convert to fraction form
    2,005.21/3,007.41 = 580.02/x
  3. Step 3: Cross multiply
    2,005.21x = 3,007.41 × 580.02
  4. Step 4: Simplify right side
    2,005.21x = 1,744,357.95
  5. Step 5: Solve for x
    x = 1,744,357.95/2,005.21
  6. Step 6: Final answer
    x = 869.91

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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.