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Finding the Fourth Proportional to 2,519.54, 3,776.71 and 1,824.49

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Solution

The fourth proportional to 2,519.54, 3,776.71 and 1,824.49 is: 2,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.54 : 3,776.71 = 1,824.49 : x
  2. Step 2: Convert to fraction form
    2,519.54/3,776.71 = 1,824.49/x
  3. Step 3: Cross multiply
    2,519.54x = 3,776.71 × 1,824.49
  4. Step 4: Simplify right side
    2,519.54x = 6,890,569.63
  5. Step 5: Solve for x
    x = 6,890,569.63/2,519.54
  6. Step 6: Final answer
    x = 2,734.85

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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.