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Finding the Fourth Proportional to 2,923.66, 4,375.06 and 2,342.39

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Solution

The fourth proportional to 2,923.66, 4,375.06 and 2,342.39 is: 3,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.66 : 4,375.06 = 2,342.39 : x
  2. Step 2: Convert to fraction form
    2,923.66/4,375.06 = 2,342.39/x
  3. Step 3: Cross multiply
    2,923.66x = 4,375.06 × 2,342.39
  4. Step 4: Simplify right side
    2,923.66x = 10,248,090.94
  5. Step 5: Solve for x
    x = 10,248,090.94/2,923.66
  6. Step 6: Final answer
    x = 3,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.