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Finding the Fourth Proportional to 2,846.68, 3,924.60 and 2,555.08

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Solution

The fourth proportional to 2,846.68, 3,924.60 and 2,555.08 is: 3,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.68 : 3,924.60 = 2,555.08 : x
  2. Step 2: Convert to fraction form
    2,846.68/3,924.60 = 2,555.08/x
  3. Step 3: Cross multiply
    2,846.68x = 3,924.60 × 2,555.08
  4. Step 4: Simplify right side
    2,846.68x = 10,027,666.97
  5. Step 5: Solve for x
    x = 10,027,666.97/2,846.68
  6. Step 6: Final answer
    x = 3,522.58

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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.