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Finding the Fourth Proportional to 1,922.28, 2,653.13 and 1,258.89

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Solution

The fourth proportional to 1,922.28, 2,653.13 and 1,258.89 is: 1,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.28 : 2,653.13 = 1,258.89 : x
  2. Step 2: Convert to fraction form
    1,922.28/2,653.13 = 1,258.89/x
  3. Step 3: Cross multiply
    1,922.28x = 2,653.13 × 1,258.89
  4. Step 4: Simplify right side
    1,922.28x = 3,340,001.97
  5. Step 5: Solve for x
    x = 3,340,001.97/1,922.28
  6. Step 6: Final answer
    x = 1,737.52

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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.