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Finding the Fourth Proportional to 2,898, 3,999.24 and 1,656

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Solution

The fourth proportional to 2,898, 3,999.24 and 1,656 is: 2,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898 : 3,999.24 = 1,656 : x
  2. Step 2: Convert to fraction form
    2,898/3,999.24 = 1,656/x
  3. Step 3: Cross multiply
    2,898x = 3,999.24 × 1,656
  4. Step 4: Simplify right side
    2,898x = 6,622,741.44
  5. Step 5: Solve for x
    x = 6,622,741.44/2,898
  6. Step 6: Final answer
    x = 2,285.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.