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Finding the Fourth Proportional to 2,031.80, 3,047.70 and 733.38

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Solution

The fourth proportional to 2,031.80, 3,047.70 and 733.38 is: 1,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.80 : 3,047.70 = 733.38 : x
  2. Step 2: Convert to fraction form
    2,031.80/3,047.70 = 733.38/x
  3. Step 3: Cross multiply
    2,031.80x = 3,047.70 × 733.38
  4. Step 4: Simplify right side
    2,031.80x = 2,235,122.23
  5. Step 5: Solve for x
    x = 2,235,122.23/2,031.80
  6. Step 6: Final answer
    x = 1,100.07

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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.