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Finding the Fourth Proportional to 1,777.56, 2,452.98 and 1,031.55

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Solution

The fourth proportional to 1,777.56, 2,452.98 and 1,031.55 is: 1,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.56 : 2,452.98 = 1,031.55 : x
  2. Step 2: Convert to fraction form
    1,777.56/2,452.98 = 1,031.55/x
  3. Step 3: Cross multiply
    1,777.56x = 2,452.98 × 1,031.55
  4. Step 4: Simplify right side
    1,777.56x = 2,530,371.52
  5. Step 5: Solve for x
    x = 2,530,371.52/1,777.56
  6. Step 6: Final answer
    x = 1,423.51

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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.