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Finding the Fourth Proportional to 1,209.60, 1,825.20 and 1,169.10

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Solution

The fourth proportional to 1,209.60, 1,825.20 and 1,169.10 is: 1,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.60 : 1,825.20 = 1,169.10 : x
  2. Step 2: Convert to fraction form
    1,209.60/1,825.20 = 1,169.10/x
  3. Step 3: Cross multiply
    1,209.60x = 1,825.20 × 1,169.10
  4. Step 4: Simplify right side
    1,209.60x = 2,133,841.32
  5. Step 5: Solve for x
    x = 2,133,841.32/1,209.60
  6. Step 6: Final answer
    x = 1,764.09

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