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Finding the Fourth Proportional to 1,922.32, 2,883.53 and 1,268.38

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Solution

The fourth proportional to 1,922.32, 2,883.53 and 1,268.38 is: 1,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.32 : 2,883.53 = 1,268.38 : x
  2. Step 2: Convert to fraction form
    1,922.32/2,883.53 = 1,268.38/x
  3. Step 3: Cross multiply
    1,922.32x = 2,883.53 × 1,268.38
  4. Step 4: Simplify right side
    1,922.32x = 3,657,411.78
  5. Step 5: Solve for x
    x = 3,657,411.78/1,922.32
  6. Step 6: Final answer
    x = 1,902.60

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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.