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Finding the Fourth Proportional to 2,120.82, 2,928.06 and 1,336.02

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Solution

The fourth proportional to 2,120.82, 2,928.06 and 1,336.02 is: 1,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.82 : 2,928.06 = 1,336.02 : x
  2. Step 2: Convert to fraction form
    2,120.82/2,928.06 = 1,336.02/x
  3. Step 3: Cross multiply
    2,120.82x = 2,928.06 × 1,336.02
  4. Step 4: Simplify right side
    2,120.82x = 3,911,946.72
  5. Step 5: Solve for x
    x = 3,911,946.72/2,120.82
  6. Step 6: Final answer
    x = 1,844.54

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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.