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Finding the Fourth Proportional to 2,168.96, 2,993.40 and 1,580.06

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Solution

The fourth proportional to 2,168.96, 2,993.40 and 1,580.06 is: 2,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.96 : 2,993.40 = 1,580.06 : x
  2. Step 2: Convert to fraction form
    2,168.96/2,993.40 = 1,580.06/x
  3. Step 3: Cross multiply
    2,168.96x = 2,993.40 × 1,580.06
  4. Step 4: Simplify right side
    2,168.96x = 4,729,751.60
  5. Step 5: Solve for x
    x = 4,729,751.60/2,168.96
  6. Step 6: Final answer
    x = 2,180.65

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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.