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Finding the Fourth Proportional to 2,185.60, 3,014.04 and 1,687.42

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Solution

The fourth proportional to 2,185.60, 3,014.04 and 1,687.42 is: 2,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.60 : 3,014.04 = 1,687.42 : x
  2. Step 2: Convert to fraction form
    2,185.60/3,014.04 = 1,687.42/x
  3. Step 3: Cross multiply
    2,185.60x = 3,014.04 × 1,687.42
  4. Step 4: Simplify right side
    2,185.60x = 5,085,951.38
  5. Step 5: Solve for x
    x = 5,085,951.38/2,185.60
  6. Step 6: Final answer
    x = 2,327.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.