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Finding the Fourth Proportional to 2,111.60, 3,165.60 and 1,493.36

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Solution

The fourth proportional to 2,111.60, 3,165.60 and 1,493.36 is: 2,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.60 : 3,165.60 = 1,493.36 : x
  2. Step 2: Convert to fraction form
    2,111.60/3,165.60 = 1,493.36/x
  3. Step 3: Cross multiply
    2,111.60x = 3,165.60 × 1,493.36
  4. Step 4: Simplify right side
    2,111.60x = 4,727,380.42
  5. Step 5: Solve for x
    x = 4,727,380.42/2,111.60
  6. Step 6: Final answer
    x = 2,238.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.