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Finding the Fourth Proportional to 2,031.40, 3,048.42 and 799.78

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Solution

The fourth proportional to 2,031.40, 3,048.42 and 799.78 is: 1,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.40 : 3,048.42 = 799.78 : x
  2. Step 2: Convert to fraction form
    2,031.40/3,048.42 = 799.78/x
  3. Step 3: Cross multiply
    2,031.40x = 3,048.42 × 799.78
  4. Step 4: Simplify right side
    2,031.40x = 2,438,065.35
  5. Step 5: Solve for x
    x = 2,438,065.35/2,031.40
  6. Step 6: Final answer
    x = 1,200.19

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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.