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Finding the Fourth Proportional to 1,797.13, 2,480.25 and 1,098.51

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Solution

The fourth proportional to 1,797.13, 2,480.25 and 1,098.51 is: 1,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.13 : 2,480.25 = 1,098.51 : x
  2. Step 2: Convert to fraction form
    1,797.13/2,480.25 = 1,098.51/x
  3. Step 3: Cross multiply
    1,797.13x = 2,480.25 × 1,098.51
  4. Step 4: Simplify right side
    1,797.13x = 2,724,579.43
  5. Step 5: Solve for x
    x = 2,724,579.43/1,797.13
  6. Step 6: Final answer
    x = 1,516.07

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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.