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Finding the Fourth Proportional to 2,873.36, 3,965.06 and 1,678.20

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Solution

The fourth proportional to 2,873.36, 3,965.06 and 1,678.20 is: 2,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.36 : 3,965.06 = 1,678.20 : x
  2. Step 2: Convert to fraction form
    2,873.36/3,965.06 = 1,678.20/x
  3. Step 3: Cross multiply
    2,873.36x = 3,965.06 × 1,678.20
  4. Step 4: Simplify right side
    2,873.36x = 6,654,167.89
  5. Step 5: Solve for x
    x = 6,654,167.89/2,873.36
  6. Step 6: Final answer
    x = 2,315.82

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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.