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Finding the Fourth Proportional to 2,464.88, 3,696.51 and 820.99

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Solution

The fourth proportional to 2,464.88, 3,696.51 and 820.99 is: 1,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.88 : 3,696.51 = 820.99 : x
  2. Step 2: Convert to fraction form
    2,464.88/3,696.51 = 820.99/x
  3. Step 3: Cross multiply
    2,464.88x = 3,696.51 × 820.99
  4. Step 4: Simplify right side
    2,464.88x = 3,034,788.50
  5. Step 5: Solve for x
    x = 3,034,788.50/2,464.88
  6. Step 6: Final answer
    x = 1,231.21

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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.