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Finding the Fourth Proportional to 1,411.06, 1,947.33 and 851.56

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Solution

The fourth proportional to 1,411.06, 1,947.33 and 851.56 is: 1,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.06 : 1,947.33 = 851.56 : x
  2. Step 2: Convert to fraction form
    1,411.06/1,947.33 = 851.56/x
  3. Step 3: Cross multiply
    1,411.06x = 1,947.33 × 851.56
  4. Step 4: Simplify right side
    1,411.06x = 1,658,268.33
  5. Step 5: Solve for x
    x = 1,658,268.33/1,411.06
  6. Step 6: Final answer
    x = 1,175.19

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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.