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Finding the Fourth Proportional to 2,031.72, 3,048.12 and 733.32

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Solution

The fourth proportional to 2,031.72, 3,048.12 and 733.32 is: 1,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.72 : 3,048.12 = 733.32 : x
  2. Step 2: Convert to fraction form
    2,031.72/3,048.12 = 733.32/x
  3. Step 3: Cross multiply
    2,031.72x = 3,048.12 × 733.32
  4. Step 4: Simplify right side
    2,031.72x = 2,235,247.36
  5. Step 5: Solve for x
    x = 2,235,247.36/2,031.72
  6. Step 6: Final answer
    x = 1,100.17

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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.