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Finding the Fourth Proportional to 2,031.33, 3,041.05 and 1,836.77

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Solution

The fourth proportional to 2,031.33, 3,041.05 and 1,836.77 is: 2,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.33 : 3,041.05 = 1,836.77 : x
  2. Step 2: Convert to fraction form
    2,031.33/3,041.05 = 1,836.77/x
  3. Step 3: Cross multiply
    2,031.33x = 3,041.05 × 1,836.77
  4. Step 4: Simplify right side
    2,031.33x = 5,585,712.42
  5. Step 5: Solve for x
    x = 5,585,712.42/2,031.33
  6. Step 6: Final answer
    x = 2,749.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.