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Finding the Fourth Proportional to 2,031.86, 3,048.21 and 733.34

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Solution

The fourth proportional to 2,031.86, 3,048.21 and 733.34 is: 1,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.86 : 3,048.21 = 733.34 : x
  2. Step 2: Convert to fraction form
    2,031.86/3,048.21 = 733.34/x
  3. Step 3: Cross multiply
    2,031.86x = 3,048.21 × 733.34
  4. Step 4: Simplify right side
    2,031.86x = 2,235,374.32
  5. Step 5: Solve for x
    x = 2,235,374.32/2,031.86
  6. Step 6: Final answer
    x = 1,100.16

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1.5x scale

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.