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Finding the Fourth Proportional to 1,408.96, 1,946.51 and 1,201.29

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Solution

The fourth proportional to 1,408.96, 1,946.51 and 1,201.29 is: 1,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.96 : 1,946.51 = 1,201.29 : x
  2. Step 2: Convert to fraction form
    1,408.96/1,946.51 = 1,201.29/x
  3. Step 3: Cross multiply
    1,408.96x = 1,946.51 × 1,201.29
  4. Step 4: Simplify right side
    1,408.96x = 2,338,323.00
  5. Step 5: Solve for x
    x = 2,338,323.00/1,408.96
  6. Step 6: Final answer
    x = 1,659.61

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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.