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Finding the Fourth Proportional to 1,723,034.16, 2,582,954.46 and 762,978.42

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Solution

The fourth proportional to 1,723,034.16, 2,582,954.46 and 762,978.42 is: 1,143,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,034.16 : 2,582,954.46 = 762,978.42 : x
  2. Step 2: Convert to fraction form
    1,723,034.16/2,582,954.46 = 762,978.42/x
  3. Step 3: Cross multiply
    1,723,034.16x = 2,582,954.46 × 762,978.42
  4. Step 4: Simplify right side
    1,723,034.16x = 1,970,738,512,822.75
  5. Step 5: Solve for x
    x = 1,970,738,512,822.75/1,723,034.16
  6. Step 6: Final answer
    x = 1,143,760.56

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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.