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Finding the Fourth Proportional to 1,354.54, 2,022.11 and 1,258.19

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Solution

The fourth proportional to 1,354.54, 2,022.11 and 1,258.19 is: 1,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.54 : 2,022.11 = 1,258.19 : x
  2. Step 2: Convert to fraction form
    1,354.54/2,022.11 = 1,258.19/x
  3. Step 3: Cross multiply
    1,354.54x = 2,022.11 × 1,258.19
  4. Step 4: Simplify right side
    1,354.54x = 2,544,198.58
  5. Step 5: Solve for x
    x = 2,544,198.58/1,354.54
  6. Step 6: Final answer
    x = 1,878.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.