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Finding the Fourth Proportional to 2,533.32, 3,493.80 and 1,648.80

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Solution

The fourth proportional to 2,533.32, 3,493.80 and 1,648.80 is: 2,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.32 : 3,493.80 = 1,648.80 : x
  2. Step 2: Convert to fraction form
    2,533.32/3,493.80 = 1,648.80/x
  3. Step 3: Cross multiply
    2,533.32x = 3,493.80 × 1,648.80
  4. Step 4: Simplify right side
    2,533.32x = 5,760,577.44
  5. Step 5: Solve for x
    x = 5,760,577.44/2,533.32
  6. Step 6: Final answer
    x = 2,273.92

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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.