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Finding the Fourth Proportional to 2,193.48, 3,027.08 and 1,354.16

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Solution

The fourth proportional to 2,193.48, 3,027.08 and 1,354.16 is: 1,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.48 : 3,027.08 = 1,354.16 : x
  2. Step 2: Convert to fraction form
    2,193.48/3,027.08 = 1,354.16/x
  3. Step 3: Cross multiply
    2,193.48x = 3,027.08 × 1,354.16
  4. Step 4: Simplify right side
    2,193.48x = 4,099,128.75
  5. Step 5: Solve for x
    x = 4,099,128.75/2,193.48
  6. Step 6: Final answer
    x = 1,868.78

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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.