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Finding the Fourth Proportional to 2,296.98, 3,166.97 and 1,900.28

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Solution

The fourth proportional to 2,296.98, 3,166.97 and 1,900.28 is: 2,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.98 : 3,166.97 = 1,900.28 : x
  2. Step 2: Convert to fraction form
    2,296.98/3,166.97 = 1,900.28/x
  3. Step 3: Cross multiply
    2,296.98x = 3,166.97 × 1,900.28
  4. Step 4: Simplify right side
    2,296.98x = 6,018,128.17
  5. Step 5: Solve for x
    x = 6,018,128.17/2,296.98
  6. Step 6: Final answer
    x = 2,620.02

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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.