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Finding the Fourth Proportional to 2,197.90, 3,289.65 and 1,708.30

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Solution

The fourth proportional to 2,197.90, 3,289.65 and 1,708.30 is: 2,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.90 : 3,289.65 = 1,708.30 : x
  2. Step 2: Convert to fraction form
    2,197.90/3,289.65 = 1,708.30/x
  3. Step 3: Cross multiply
    2,197.90x = 3,289.65 × 1,708.30
  4. Step 4: Simplify right side
    2,197.90x = 5,619,709.10
  5. Step 5: Solve for x
    x = 5,619,709.10/2,197.90
  6. Step 6: Final answer
    x = 2,556.85

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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.