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Finding the Fourth Proportional to 2,094.34, 3,142.04 and 795.10

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Solution

The fourth proportional to 2,094.34, 3,142.04 and 795.10 is: 1,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.34 : 3,142.04 = 795.10 : x
  2. Step 2: Convert to fraction form
    2,094.34/3,142.04 = 795.10/x
  3. Step 3: Cross multiply
    2,094.34x = 3,142.04 × 795.10
  4. Step 4: Simplify right side
    2,094.34x = 2,498,236.00
  5. Step 5: Solve for x
    x = 2,498,236.00/2,094.34
  6. Step 6: Final answer
    x = 1,192.85

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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.