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Finding the Fourth Proportional to 2,235.40, 3,353.10 and 1,947.40

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Solution

The fourth proportional to 2,235.40, 3,353.10 and 1,947.40 is: 2,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.40 : 3,353.10 = 1,947.40 : x
  2. Step 2: Convert to fraction form
    2,235.40/3,353.10 = 1,947.40/x
  3. Step 3: Cross multiply
    2,235.40x = 3,353.10 × 1,947.40
  4. Step 4: Simplify right side
    2,235.40x = 6,529,826.94
  5. Step 5: Solve for x
    x = 6,529,826.94/2,235.40
  6. Step 6: Final answer
    x = 2,921.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.