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Finding the Fourth Proportional to 2,846.42, 3,927.18 and 1,667.48

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Solution

The fourth proportional to 2,846.42, 3,927.18 and 1,667.48 is: 2,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.42 : 3,927.18 = 1,667.48 : x
  2. Step 2: Convert to fraction form
    2,846.42/3,927.18 = 1,667.48/x
  3. Step 3: Cross multiply
    2,846.42x = 3,927.18 × 1,667.48
  4. Step 4: Simplify right side
    2,846.42x = 6,548,494.11
  5. Step 5: Solve for x
    x = 6,548,494.11/2,846.42
  6. Step 6: Final answer
    x = 2,300.61

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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.