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Finding the Fourth Proportional to 1,411.23, 1,947.60 and 851.84

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Solution

The fourth proportional to 1,411.23, 1,947.60 and 851.84 is: 1,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.23 : 1,947.60 = 851.84 : x
  2. Step 2: Convert to fraction form
    1,411.23/1,947.60 = 851.84/x
  3. Step 3: Cross multiply
    1,411.23x = 1,947.60 × 851.84
  4. Step 4: Simplify right side
    1,411.23x = 1,659,033.85
  5. Step 5: Solve for x
    x = 1,659,033.85/1,411.23
  6. Step 6: Final answer
    x = 1,175.59

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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.