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Finding the Fourth Proportional to 2,797.74, 3,862.49 and 1,804.48

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Solution

The fourth proportional to 2,797.74, 3,862.49 and 1,804.48 is: 2,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.74 : 3,862.49 = 1,804.48 : x
  2. Step 2: Convert to fraction form
    2,797.74/3,862.49 = 1,804.48/x
  3. Step 3: Cross multiply
    2,797.74x = 3,862.49 × 1,804.48
  4. Step 4: Simplify right side
    2,797.74x = 6,969,767.28
  5. Step 5: Solve for x
    x = 6,969,767.28/2,797.74
  6. Step 6: Final answer
    x = 2,491.21

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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.