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Finding the Fourth Proportional to 2,193.48, 3,285.36 and 2,149.20

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Solution

The fourth proportional to 2,193.48, 3,285.36 and 2,149.20 is: 3,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.48 : 3,285.36 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    2,193.48/3,285.36 = 2,149.20/x
  3. Step 3: Cross multiply
    2,193.48x = 3,285.36 × 2,149.20
  4. Step 4: Simplify right side
    2,193.48x = 7,060,895.71
  5. Step 5: Solve for x
    x = 7,060,895.71/2,193.48
  6. Step 6: Final answer
    x = 3,219.04

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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.