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Finding the Fourth Proportional to 2,031.79, 3,048.90 and 799.33

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Solution

The fourth proportional to 2,031.79, 3,048.90 and 799.33 is: 1,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.79 : 3,048.90 = 799.33 : x
  2. Step 2: Convert to fraction form
    2,031.79/3,048.90 = 799.33/x
  3. Step 3: Cross multiply
    2,031.79x = 3,048.90 × 799.33
  4. Step 4: Simplify right side
    2,031.79x = 2,437,077.24
  5. Step 5: Solve for x
    x = 2,437,077.24/2,031.79
  6. Step 6: Final answer
    x = 1,199.47

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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.