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Finding the Fourth Proportional to 2,907.40, 4,009.56 and 1,912.32

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Solution

The fourth proportional to 2,907.40, 4,009.56 and 1,912.32 is: 2,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.40 : 4,009.56 = 1,912.32 : x
  2. Step 2: Convert to fraction form
    2,907.40/4,009.56 = 1,912.32/x
  3. Step 3: Cross multiply
    2,907.40x = 4,009.56 × 1,912.32
  4. Step 4: Simplify right side
    2,907.40x = 7,667,561.78
  5. Step 5: Solve for x
    x = 7,667,561.78/2,907.40
  6. Step 6: Final answer
    x = 2,637.26

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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.