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Finding the Fourth Proportional to 1,985.60, 2,747.04 and 1,942.40

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Solution

The fourth proportional to 1,985.60, 2,747.04 and 1,942.40 is: 2,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.60 : 2,747.04 = 1,942.40 : x
  2. Step 2: Convert to fraction form
    1,985.60/2,747.04 = 1,942.40/x
  3. Step 3: Cross multiply
    1,985.60x = 2,747.04 × 1,942.40
  4. Step 4: Simplify right side
    1,985.60x = 5,335,850.50
  5. Step 5: Solve for x
    x = 5,335,850.50/1,985.60
  6. Step 6: Final answer
    x = 2,687.27

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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.