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Finding the Fourth Proportional to 2,203.76, 3,305.94 and 1,684.76

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Solution

The fourth proportional to 2,203.76, 3,305.94 and 1,684.76 is: 2,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.76 : 3,305.94 = 1,684.76 : x
  2. Step 2: Convert to fraction form
    2,203.76/3,305.94 = 1,684.76/x
  3. Step 3: Cross multiply
    2,203.76x = 3,305.94 × 1,684.76
  4. Step 4: Simplify right side
    2,203.76x = 5,569,715.47
  5. Step 5: Solve for x
    x = 5,569,715.47/2,203.76
  6. Step 6: Final answer
    x = 2,527.37

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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.