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Finding the Fourth Proportional to 3,267.29, 4,508.71 and 1,941.11

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Solution

The fourth proportional to 3,267.29, 4,508.71 and 1,941.11 is: 2,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.29 : 4,508.71 = 1,941.11 : x
  2. Step 2: Convert to fraction form
    3,267.29/4,508.71 = 1,941.11/x
  3. Step 3: Cross multiply
    3,267.29x = 4,508.71 × 1,941.11
  4. Step 4: Simplify right side
    3,267.29x = 8,751,927.86
  5. Step 5: Solve for x
    x = 8,751,927.86/3,267.29
  6. Step 6: Final answer
    x = 2,678.65

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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.