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Finding the Fourth Proportional to 2,770.32, 3,823.68 and 1,651.92

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Solution

The fourth proportional to 2,770.32, 3,823.68 and 1,651.92 is: 2,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.32 : 3,823.68 = 1,651.92 : x
  2. Step 2: Convert to fraction form
    2,770.32/3,823.68 = 1,651.92/x
  3. Step 3: Cross multiply
    2,770.32x = 3,823.68 × 1,651.92
  4. Step 4: Simplify right side
    2,770.32x = 6,316,413.47
  5. Step 5: Solve for x
    x = 6,316,413.47/2,770.32
  6. Step 6: Final answer
    x = 2,280.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.