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Finding the Fourth Proportional to 3,094.25, 4,270.14 and 1,697

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Solution

The fourth proportional to 3,094.25, 4,270.14 and 1,697 is: 2,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.25 : 4,270.14 = 1,697 : x
  2. Step 2: Convert to fraction form
    3,094.25/4,270.14 = 1,697/x
  3. Step 3: Cross multiply
    3,094.25x = 4,270.14 × 1,697
  4. Step 4: Simplify right side
    3,094.25x = 7,246,419.10
  5. Step 5: Solve for x
    x = 7,246,419.10/3,094.25
  6. Step 6: Final answer
    x = 2,341.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.