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Finding the Fourth Proportional to 2,253.07, 3,379.61 and 693.06

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Solution

The fourth proportional to 2,253.07, 3,379.61 and 693.06 is: 1,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.07 : 3,379.61 = 693.06 : x
  2. Step 2: Convert to fraction form
    2,253.07/3,379.61 = 693.06/x
  3. Step 3: Cross multiply
    2,253.07x = 3,379.61 × 693.06
  4. Step 4: Simplify right side
    2,253.07x = 2,342,269.73
  5. Step 5: Solve for x
    x = 2,342,269.73/2,253.07
  6. Step 6: Final answer
    x = 1,039.59

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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.