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Finding the Fourth Proportional to 2,907.02, 4,012 and 2,243.54

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Solution

The fourth proportional to 2,907.02, 4,012 and 2,243.54 is: 3,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.02 : 4,012 = 2,243.54 : x
  2. Step 2: Convert to fraction form
    2,907.02/4,012 = 2,243.54/x
  3. Step 3: Cross multiply
    2,907.02x = 4,012 × 2,243.54
  4. Step 4: Simplify right side
    2,907.02x = 9,001,082.48
  5. Step 5: Solve for x
    x = 9,001,082.48/2,907.02
  6. Step 6: Final answer
    x = 3,096.33

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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.