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Finding the Fourth Proportional to 2,310.75, 3,467.49 and 924.75

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Solution

The fourth proportional to 2,310.75, 3,467.49 and 924.75 is: 1,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.75 : 3,467.49 = 924.75 : x
  2. Step 2: Convert to fraction form
    2,310.75/3,467.49 = 924.75/x
  3. Step 3: Cross multiply
    2,310.75x = 3,467.49 × 924.75
  4. Step 4: Simplify right side
    2,310.75x = 3,206,561.38
  5. Step 5: Solve for x
    x = 3,206,561.38/2,310.75
  6. Step 6: Final answer
    x = 1,387.67

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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.