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Finding the Fourth Proportional to 2,134.54, 2,947.08 and 1,339.06

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Solution

The fourth proportional to 2,134.54, 2,947.08 and 1,339.06 is: 1,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.54 : 2,947.08 = 1,339.06 : x
  2. Step 2: Convert to fraction form
    2,134.54/2,947.08 = 1,339.06/x
  3. Step 3: Cross multiply
    2,134.54x = 2,947.08 × 1,339.06
  4. Step 4: Simplify right side
    2,134.54x = 3,946,316.94
  5. Step 5: Solve for x
    x = 3,946,316.94/2,134.54
  6. Step 6: Final answer
    x = 1,848.79

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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.