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Finding the Fourth Proportional to 2,094.72, 3,142.44 and 708.20

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Solution

The fourth proportional to 2,094.72, 3,142.44 and 708.20 is: 1,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.72 : 3,142.44 = 708.20 : x
  2. Step 2: Convert to fraction form
    2,094.72/3,142.44 = 708.20/x
  3. Step 3: Cross multiply
    2,094.72x = 3,142.44 × 708.20
  4. Step 4: Simplify right side
    2,094.72x = 2,225,476.01
  5. Step 5: Solve for x
    x = 2,225,476.01/2,094.72
  6. Step 6: Final answer
    x = 1,062.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.