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Finding the Fourth Proportional to 2,197.98, 3,291.77 and 1,907.84

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Solution

The fourth proportional to 2,197.98, 3,291.77 and 1,907.84 is: 2,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.98 : 3,291.77 = 1,907.84 : x
  2. Step 2: Convert to fraction form
    2,197.98/3,291.77 = 1,907.84/x
  3. Step 3: Cross multiply
    2,197.98x = 3,291.77 × 1,907.84
  4. Step 4: Simplify right side
    2,197.98x = 6,280,169.17
  5. Step 5: Solve for x
    x = 6,280,169.17/2,197.98
  6. Step 6: Final answer
    x = 2,857.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.