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Finding the Fourth Proportional to 3,005.99, 4,505.90 and 1,252.01

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Solution

The fourth proportional to 3,005.99, 4,505.90 and 1,252.01 is: 1,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.99 : 4,505.90 = 1,252.01 : x
  2. Step 2: Convert to fraction form
    3,005.99/4,505.90 = 1,252.01/x
  3. Step 3: Cross multiply
    3,005.99x = 4,505.90 × 1,252.01
  4. Step 4: Simplify right side
    3,005.99x = 5,641,431.86
  5. Step 5: Solve for x
    x = 5,641,431.86/3,005.99
  6. Step 6: Final answer
    x = 1,876.73

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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.