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Finding the Fourth Proportional to 3,640.77, 5,460.93 and 1,790.02

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Solution

The fourth proportional to 3,640.77, 5,460.93 and 1,790.02 is: 2,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.77 : 5,460.93 = 1,790.02 : x
  2. Step 2: Convert to fraction form
    3,640.77/5,460.93 = 1,790.02/x
  3. Step 3: Cross multiply
    3,640.77x = 5,460.93 × 1,790.02
  4. Step 4: Simplify right side
    3,640.77x = 9,775,173.92
  5. Step 5: Solve for x
    x = 9,775,173.92/3,640.77
  6. Step 6: Final answer
    x = 2,684.92

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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.