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Finding the Fourth Proportional to 3,094.84, 4,270.74 and 1,697.56

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Solution

The fourth proportional to 3,094.84, 4,270.74 and 1,697.56 is: 2,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.84 : 4,270.74 = 1,697.56 : x
  2. Step 2: Convert to fraction form
    3,094.84/4,270.74 = 1,697.56/x
  3. Step 3: Cross multiply
    3,094.84x = 4,270.74 × 1,697.56
  4. Step 4: Simplify right side
    3,094.84x = 7,249,837.39
  5. Step 5: Solve for x
    x = 7,249,837.39/3,094.84
  6. Step 6: Final answer
    x = 2,342.56

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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.