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Finding the Fourth Proportional to 2,383.79, 3,569.08 and 1,797.02

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Solution

The fourth proportional to 2,383.79, 3,569.08 and 1,797.02 is: 2,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.79 : 3,569.08 = 1,797.02 : x
  2. Step 2: Convert to fraction form
    2,383.79/3,569.08 = 1,797.02/x
  3. Step 3: Cross multiply
    2,383.79x = 3,569.08 × 1,797.02
  4. Step 4: Simplify right side
    2,383.79x = 6,413,708.14
  5. Step 5: Solve for x
    x = 6,413,708.14/2,383.79
  6. Step 6: Final answer
    x = 2,690.55

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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.