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Finding the Fourth Proportional to 2,770.98, 3,823.82 and 1,651.64

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Solution

The fourth proportional to 2,770.98, 3,823.82 and 1,651.64 is: 2,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.98 : 3,823.82 = 1,651.64 : x
  2. Step 2: Convert to fraction form
    2,770.98/3,823.82 = 1,651.64/x
  3. Step 3: Cross multiply
    2,770.98x = 3,823.82 × 1,651.64
  4. Step 4: Simplify right side
    2,770.98x = 6,315,574.06
  5. Step 5: Solve for x
    x = 6,315,574.06/2,770.98
  6. Step 6: Final answer
    x = 2,279.18

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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.