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Finding the Fourth Proportional to 2,907.72, 4,012.70 and 1,581.46

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Solution

The fourth proportional to 2,907.72, 4,012.70 and 1,581.46 is: 2,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.72 : 4,012.70 = 1,581.46 : x
  2. Step 2: Convert to fraction form
    2,907.72/4,012.70 = 1,581.46/x
  3. Step 3: Cross multiply
    2,907.72x = 4,012.70 × 1,581.46
  4. Step 4: Simplify right side
    2,907.72x = 6,345,906.60
  5. Step 5: Solve for x
    x = 6,345,906.60/2,907.72
  6. Step 6: Final answer
    x = 2,182.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.