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Finding the Fourth Proportional to 1,797.15, 2,473.83 and 1,549.29

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Solution

The fourth proportional to 1,797.15, 2,473.83 and 1,549.29 is: 2,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.15 : 2,473.83 = 1,549.29 : x
  2. Step 2: Convert to fraction form
    1,797.15/2,473.83 = 1,549.29/x
  3. Step 3: Cross multiply
    1,797.15x = 2,473.83 × 1,549.29
  4. Step 4: Simplify right side
    1,797.15x = 3,832,680.08
  5. Step 5: Solve for x
    x = 3,832,680.08/1,797.15
  6. Step 6: Final answer
    x = 2,132.64

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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.