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Finding the Fourth Proportional to 2,094.48, 3,141.90 and 795.96

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Solution

The fourth proportional to 2,094.48, 3,141.90 and 795.96 is: 1,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.48 : 3,141.90 = 795.96 : x
  2. Step 2: Convert to fraction form
    2,094.48/3,141.90 = 795.96/x
  3. Step 3: Cross multiply
    2,094.48x = 3,141.90 × 795.96
  4. Step 4: Simplify right side
    2,094.48x = 2,500,826.72
  5. Step 5: Solve for x
    x = 2,500,826.72/2,094.48
  6. Step 6: Final answer
    x = 1,194.01

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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.