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Finding the Fourth Proportional to 2,193.86, 3,285.53 and 1,599.29

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Solution

The fourth proportional to 2,193.86, 3,285.53 and 1,599.29 is: 2,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.86 : 3,285.53 = 1,599.29 : x
  2. Step 2: Convert to fraction form
    2,193.86/3,285.53 = 1,599.29/x
  3. Step 3: Cross multiply
    2,193.86x = 3,285.53 × 1,599.29
  4. Step 4: Simplify right side
    2,193.86x = 5,254,515.27
  5. Step 5: Solve for x
    x = 5,254,515.27/2,193.86
  6. Step 6: Final answer
    x = 2,395.10

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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.