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Finding the Fourth Proportional to 2,365.63, 3,529.09 and 2,197.82

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Solution

The fourth proportional to 2,365.63, 3,529.09 and 2,197.82 is: 3,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.63 : 3,529.09 = 2,197.82 : x
  2. Step 2: Convert to fraction form
    2,365.63/3,529.09 = 2,197.82/x
  3. Step 3: Cross multiply
    2,365.63x = 3,529.09 × 2,197.82
  4. Step 4: Simplify right side
    2,365.63x = 7,756,304.58
  5. Step 5: Solve for x
    x = 7,756,304.58/2,365.63
  6. Step 6: Final answer
    x = 3,278.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.