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Finding the Fourth Proportional to 2,118.06, 2,922.93 and 1,290.06

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Solution

The fourth proportional to 2,118.06, 2,922.93 and 1,290.06 is: 1,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.06 : 2,922.93 = 1,290.06 : x
  2. Step 2: Convert to fraction form
    2,118.06/2,922.93 = 1,290.06/x
  3. Step 3: Cross multiply
    2,118.06x = 2,922.93 × 1,290.06
  4. Step 4: Simplify right side
    2,118.06x = 3,770,759.16
  5. Step 5: Solve for x
    x = 3,770,759.16/2,118.06
  6. Step 6: Final answer
    x = 1,780.29

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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.