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Finding the Fourth Proportional to 1,396.89, 1,917.60 and 1,200.06

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Solution

The fourth proportional to 1,396.89, 1,917.60 and 1,200.06 is: 1,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.89 : 1,917.60 = 1,200.06 : x
  2. Step 2: Convert to fraction form
    1,396.89/1,917.60 = 1,200.06/x
  3. Step 3: Cross multiply
    1,396.89x = 1,917.60 × 1,200.06
  4. Step 4: Simplify right side
    1,396.89x = 2,301,235.06
  5. Step 5: Solve for x
    x = 2,301,235.06/1,396.89
  6. Step 6: Final answer
    x = 1,647.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.