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Finding the Fourth Proportional to 1,541.08, 2,127.39 and 982.31

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Solution

The fourth proportional to 1,541.08, 2,127.39 and 982.31 is: 1,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.08 : 2,127.39 = 982.31 : x
  2. Step 2: Convert to fraction form
    1,541.08/2,127.39 = 982.31/x
  3. Step 3: Cross multiply
    1,541.08x = 2,127.39 × 982.31
  4. Step 4: Simplify right side
    1,541.08x = 2,089,761.79
  5. Step 5: Solve for x
    x = 2,089,761.79/1,541.08
  6. Step 6: Final answer
    x = 1,356.04

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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.