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Finding the Fourth Proportional to 2,364.80, 3,564.91 and 2,206.22

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Solution

The fourth proportional to 2,364.80, 3,564.91 and 2,206.22 is: 3,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.80 : 3,564.91 = 2,206.22 : x
  2. Step 2: Convert to fraction form
    2,364.80/3,564.91 = 2,206.22/x
  3. Step 3: Cross multiply
    2,364.80x = 3,564.91 × 2,206.22
  4. Step 4: Simplify right side
    2,364.80x = 7,864,975.74
  5. Step 5: Solve for x
    x = 7,864,975.74/2,364.80
  6. Step 6: Final answer
    x = 3,325.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.