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Finding the Fourth Proportional to 3,007.36, 4,511.46 and 1,468

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Solution

The fourth proportional to 3,007.36, 4,511.46 and 1,468 is: 2,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.36 : 4,511.46 = 1,468 : x
  2. Step 2: Convert to fraction form
    3,007.36/4,511.46 = 1,468/x
  3. Step 3: Cross multiply
    3,007.36x = 4,511.46 × 1,468
  4. Step 4: Simplify right side
    3,007.36x = 6,622,823.28
  5. Step 5: Solve for x
    x = 6,622,823.28/3,007.36
  6. Step 6: Final answer
    x = 2,202.21

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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.