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Finding the Fourth Proportional to 3,234.68, 4,463.74 and 1,977.84

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Solution

The fourth proportional to 3,234.68, 4,463.74 and 1,977.84 is: 2,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.68 : 4,463.74 = 1,977.84 : x
  2. Step 2: Convert to fraction form
    3,234.68/4,463.74 = 1,977.84/x
  3. Step 3: Cross multiply
    3,234.68x = 4,463.74 × 1,977.84
  4. Step 4: Simplify right side
    3,234.68x = 8,828,563.52
  5. Step 5: Solve for x
    x = 8,828,563.52/3,234.68
  6. Step 6: Final answer
    x = 2,729.35

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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.