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Finding the Fourth Proportional to 2,752.76, 3,798.27 and 1,634.69

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Solution

The fourth proportional to 2,752.76, 3,798.27 and 1,634.69 is: 2,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.76 : 3,798.27 = 1,634.69 : x
  2. Step 2: Convert to fraction form
    2,752.76/3,798.27 = 1,634.69/x
  3. Step 3: Cross multiply
    2,752.76x = 3,798.27 × 1,634.69
  4. Step 4: Simplify right side
    2,752.76x = 6,208,974.99
  5. Step 5: Solve for x
    x = 6,208,974.99/2,752.76
  6. Step 6: Final answer
    x = 2,255.55

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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.