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Finding the Fourth Proportional to 2,938.68, 4,056.03 and 2,299.36

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Solution

The fourth proportional to 2,938.68, 4,056.03 and 2,299.36 is: 3,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.68 : 4,056.03 = 2,299.36 : x
  2. Step 2: Convert to fraction form
    2,938.68/4,056.03 = 2,299.36/x
  3. Step 3: Cross multiply
    2,938.68x = 4,056.03 × 2,299.36
  4. Step 4: Simplify right side
    2,938.68x = 9,326,273.14
  5. Step 5: Solve for x
    x = 9,326,273.14/2,938.68
  6. Step 6: Final answer
    x = 3,173.63

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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.