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Finding the Fourth Proportional to 1,777.29, 2,452.46 and 1,031.24

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Solution

The fourth proportional to 1,777.29, 2,452.46 and 1,031.24 is: 1,422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.29 : 2,452.46 = 1,031.24 : x
  2. Step 2: Convert to fraction form
    1,777.29/2,452.46 = 1,031.24/x
  3. Step 3: Cross multiply
    1,777.29x = 2,452.46 × 1,031.24
  4. Step 4: Simplify right side
    1,777.29x = 2,529,057.43
  5. Step 5: Solve for x
    x = 2,529,057.43/1,777.29
  6. Step 6: Final answer
    x = 1,422.99

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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.