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Finding the Fourth Proportional to 2,175.12, 2,999.08 and 1,650.24

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Solution

The fourth proportional to 2,175.12, 2,999.08 and 1,650.24 is: 2,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.12 : 2,999.08 = 1,650.24 : x
  2. Step 2: Convert to fraction form
    2,175.12/2,999.08 = 1,650.24/x
  3. Step 3: Cross multiply
    2,175.12x = 2,999.08 × 1,650.24
  4. Step 4: Simplify right side
    2,175.12x = 4,949,201.78
  5. Step 5: Solve for x
    x = 4,949,201.78/2,175.12
  6. Step 6: Final answer
    x = 2,275.37

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