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Finding the Fourth Proportional to 2,192.89, 3,024.10 and 1,445.55

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Solution

The fourth proportional to 2,192.89, 3,024.10 and 1,445.55 is: 1,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.89 : 3,024.10 = 1,445.55 : x
  2. Step 2: Convert to fraction form
    2,192.89/3,024.10 = 1,445.55/x
  3. Step 3: Cross multiply
    2,192.89x = 3,024.10 × 1,445.55
  4. Step 4: Simplify right side
    2,192.89x = 4,371,472.12
  5. Step 5: Solve for x
    x = 4,371,472.12/2,192.89
  6. Step 6: Final answer
    x = 1,993.48

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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.