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Finding the Fourth Proportional to 2,177.93, 3,268.74 and 946.32

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Solution

The fourth proportional to 2,177.93, 3,268.74 and 946.32 is: 1,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.93 : 3,268.74 = 946.32 : x
  2. Step 2: Convert to fraction form
    2,177.93/3,268.74 = 946.32/x
  3. Step 3: Cross multiply
    2,177.93x = 3,268.74 × 946.32
  4. Step 4: Simplify right side
    2,177.93x = 3,093,274.04
  5. Step 5: Solve for x
    x = 3,093,274.04/2,177.93
  6. Step 6: Final answer
    x = 1,420.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.