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Finding the Fourth Proportional to 2,846.16, 3,926.34 and 1,651.14

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Solution

The fourth proportional to 2,846.16, 3,926.34 and 1,651.14 is: 2,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.16 : 3,926.34 = 1,651.14 : x
  2. Step 2: Convert to fraction form
    2,846.16/3,926.34 = 1,651.14/x
  3. Step 3: Cross multiply
    2,846.16x = 3,926.34 × 1,651.14
  4. Step 4: Simplify right side
    2,846.16x = 6,482,937.03
  5. Step 5: Solve for x
    x = 6,482,937.03/2,846.16
  6. Step 6: Final answer
    x = 2,277.78

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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.