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Finding the Fourth Proportional to 2,094.54, 3,142.38 and 1,703.58

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Solution

The fourth proportional to 2,094.54, 3,142.38 and 1,703.58 is: 2,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.54 : 3,142.38 = 1,703.58 : x
  2. Step 2: Convert to fraction form
    2,094.54/3,142.38 = 1,703.58/x
  3. Step 3: Cross multiply
    2,094.54x = 3,142.38 × 1,703.58
  4. Step 4: Simplify right side
    2,094.54x = 5,353,295.72
  5. Step 5: Solve for x
    x = 5,353,295.72/2,094.54
  6. Step 6: Final answer
    x = 2,555.83

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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.