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Finding the Fourth Proportional to 3,094.63, 4,270.59 and 1,697.38

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Solution

The fourth proportional to 3,094.63, 4,270.59 and 1,697.38 is: 2,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.63 : 4,270.59 = 1,697.38 : x
  2. Step 2: Convert to fraction form
    3,094.63/4,270.59 = 1,697.38/x
  3. Step 3: Cross multiply
    3,094.63x = 4,270.59 × 1,697.38
  4. Step 4: Simplify right side
    3,094.63x = 7,248,803.38
  5. Step 5: Solve for x
    x = 7,248,803.38/3,094.63
  6. Step 6: Final answer
    x = 2,342.38

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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.