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Finding the Fourth Proportional to 3,094.92, 4,270.86 and 1,697.58

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Solution

The fourth proportional to 3,094.92, 4,270.86 and 1,697.58 is: 2,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.92 : 4,270.86 = 1,697.58 : x
  2. Step 2: Convert to fraction form
    3,094.92/4,270.86 = 1,697.58/x
  3. Step 3: Cross multiply
    3,094.92x = 4,270.86 × 1,697.58
  4. Step 4: Simplify right side
    3,094.92x = 7,250,126.52
  5. Step 5: Solve for x
    x = 7,250,126.52/3,094.92
  6. Step 6: Final answer
    x = 2,342.59

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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.