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Finding the Fourth Proportional to 1,555.83, 2,147.46 and 918.33

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Solution

The fourth proportional to 1,555.83, 2,147.46 and 918.33 is: 1,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.83 : 2,147.46 = 918.33 : x
  2. Step 2: Convert to fraction form
    1,555.83/2,147.46 = 918.33/x
  3. Step 3: Cross multiply
    1,555.83x = 2,147.46 × 918.33
  4. Step 4: Simplify right side
    1,555.83x = 1,972,076.94
  5. Step 5: Solve for x
    x = 1,972,076.94/1,555.83
  6. Step 6: Final answer
    x = 1,267.54

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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.