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Finding the Fourth Proportional to 3,077.76, 4,247.22 and 1,733.34

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Solution

The fourth proportional to 3,077.76, 4,247.22 and 1,733.34 is: 2,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.76 : 4,247.22 = 1,733.34 : x
  2. Step 2: Convert to fraction form
    3,077.76/4,247.22 = 1,733.34/x
  3. Step 3: Cross multiply
    3,077.76x = 4,247.22 × 1,733.34
  4. Step 4: Simplify right side
    3,077.76x = 7,361,876.31
  5. Step 5: Solve for x
    x = 7,361,876.31/3,077.76
  6. Step 6: Final answer
    x = 2,391.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.