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Finding the Fourth Proportional to 2,828.07, 3,900.02 and 2,197.69

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Solution

The fourth proportional to 2,828.07, 3,900.02 and 2,197.69 is: 3,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.07 : 3,900.02 = 2,197.69 : x
  2. Step 2: Convert to fraction form
    2,828.07/3,900.02 = 2,197.69/x
  3. Step 3: Cross multiply
    2,828.07x = 3,900.02 × 2,197.69
  4. Step 4: Simplify right side
    2,828.07x = 8,571,014.22
  5. Step 5: Solve for x
    x = 8,571,014.22/2,828.07
  6. Step 6: Final answer
    x = 3,030.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.