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Finding the Fourth Proportional to 2,672.74, 3,684.67 and 2,303.65

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Solution

The fourth proportional to 2,672.74, 3,684.67 and 2,303.65 is: 3,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.74 : 3,684.67 = 2,303.65 : x
  2. Step 2: Convert to fraction form
    2,672.74/3,684.67 = 2,303.65/x
  3. Step 3: Cross multiply
    2,672.74x = 3,684.67 × 2,303.65
  4. Step 4: Simplify right side
    2,672.74x = 8,488,190.05
  5. Step 5: Solve for x
    x = 8,488,190.05/2,672.74
  6. Step 6: Final answer
    x = 3,175.84

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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.