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Finding the Fourth Proportional to 2,971.54, 4,098.63 and 1,976.32

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Solution

The fourth proportional to 2,971.54, 4,098.63 and 1,976.32 is: 2,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.54 : 4,098.63 = 1,976.32 : x
  2. Step 2: Convert to fraction form
    2,971.54/4,098.63 = 1,976.32/x
  3. Step 3: Cross multiply
    2,971.54x = 4,098.63 × 1,976.32
  4. Step 4: Simplify right side
    2,971.54x = 8,100,204.44
  5. Step 5: Solve for x
    x = 8,100,204.44/2,971.54
  6. Step 6: Final answer
    x = 2,725.93

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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.