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Finding the Fourth Proportional to 2,138.54, 2,947.34 and 1,548.05

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Solution

The fourth proportional to 2,138.54, 2,947.34 and 1,548.05 is: 2,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.54 : 2,947.34 = 1,548.05 : x
  2. Step 2: Convert to fraction form
    2,138.54/2,947.34 = 1,548.05/x
  3. Step 3: Cross multiply
    2,138.54x = 2,947.34 × 1,548.05
  4. Step 4: Simplify right side
    2,138.54x = 4,562,629.32
  5. Step 5: Solve for x
    x = 4,562,629.32/2,138.54
  6. Step 6: Final answer
    x = 2,133.52

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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.