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Finding the Fourth Proportional to 2,423.91, 3,628.98 and 2,193.24

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Solution

The fourth proportional to 2,423.91, 3,628.98 and 2,193.24 is: 3,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.91 : 3,628.98 = 2,193.24 : x
  2. Step 2: Convert to fraction form
    2,423.91/3,628.98 = 2,193.24/x
  3. Step 3: Cross multiply
    2,423.91x = 3,628.98 × 2,193.24
  4. Step 4: Simplify right side
    2,423.91x = 7,959,224.10
  5. Step 5: Solve for x
    x = 7,959,224.10/2,423.91
  6. Step 6: Final answer
    x = 3,283.63

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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.