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Finding the Fourth Proportional to 2,196.96, 3,029.52 and 1,883.28

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Solution

The fourth proportional to 2,196.96, 3,029.52 and 1,883.28 is: 2,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.96 : 3,029.52 = 1,883.28 : x
  2. Step 2: Convert to fraction form
    2,196.96/3,029.52 = 1,883.28/x
  3. Step 3: Cross multiply
    2,196.96x = 3,029.52 × 1,883.28
  4. Step 4: Simplify right side
    2,196.96x = 5,705,434.43
  5. Step 5: Solve for x
    x = 5,705,434.43/2,196.96
  6. Step 6: Final answer
    x = 2,596.97

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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.