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Finding the Fourth Proportional to 1,397.80, 2,096.70 and 1,258.60

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Solution

The fourth proportional to 1,397.80, 2,096.70 and 1,258.60 is: 1,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.80 : 2,096.70 = 1,258.60 : x
  2. Step 2: Convert to fraction form
    1,397.80/2,096.70 = 1,258.60/x
  3. Step 3: Cross multiply
    1,397.80x = 2,096.70 × 1,258.60
  4. Step 4: Simplify right side
    1,397.80x = 2,638,906.62
  5. Step 5: Solve for x
    x = 2,638,906.62/1,397.80
  6. Step 6: Final answer
    x = 1,887.90

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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.