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Finding the Fourth Proportional to 2,592.69, 3,890.67 and 1,360.98

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Solution

The fourth proportional to 2,592.69, 3,890.67 and 1,360.98 is: 2,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.69 : 3,890.67 = 1,360.98 : x
  2. Step 2: Convert to fraction form
    2,592.69/3,890.67 = 1,360.98/x
  3. Step 3: Cross multiply
    2,592.69x = 3,890.67 × 1,360.98
  4. Step 4: Simplify right side
    2,592.69x = 5,295,124.06
  5. Step 5: Solve for x
    x = 5,295,124.06/2,592.69
  6. Step 6: Final answer
    x = 2,042.33

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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.