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Finding the Fourth Proportional to 1,396.70, 2,104.86 and 1,258.05

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Solution

The fourth proportional to 1,396.70, 2,104.86 and 1,258.05 is: 1,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.70 : 2,104.86 = 1,258.05 : x
  2. Step 2: Convert to fraction form
    1,396.70/2,104.86 = 1,258.05/x
  3. Step 3: Cross multiply
    1,396.70x = 2,104.86 × 1,258.05
  4. Step 4: Simplify right side
    1,396.70x = 2,648,019.12
  5. Step 5: Solve for x
    x = 2,648,019.12/1,396.70
  6. Step 6: Final answer
    x = 1,895.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.