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Finding the Fourth Proportional to 1,851.96, 2,777.94 and 1,031.16

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Solution

The fourth proportional to 1,851.96, 2,777.94 and 1,031.16 is: 1,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.96 : 2,777.94 = 1,031.16 : x
  2. Step 2: Convert to fraction form
    1,851.96/2,777.94 = 1,031.16/x
  3. Step 3: Cross multiply
    1,851.96x = 2,777.94 × 1,031.16
  4. Step 4: Simplify right side
    1,851.96x = 2,864,500.61
  5. Step 5: Solve for x
    x = 2,864,500.61/1,851.96
  6. Step 6: Final answer
    x = 1,546.74

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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.