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Finding the Fourth Proportional to 1,397.76, 2,094.05 and 1,168.12

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Solution

The fourth proportional to 1,397.76, 2,094.05 and 1,168.12 is: 1,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.76 : 2,094.05 = 1,168.12 : x
  2. Step 2: Convert to fraction form
    1,397.76/2,094.05 = 1,168.12/x
  3. Step 3: Cross multiply
    1,397.76x = 2,094.05 × 1,168.12
  4. Step 4: Simplify right side
    1,397.76x = 2,446,107.22
  5. Step 5: Solve for x
    x = 2,446,107.22/1,397.76
  6. Step 6: Final answer
    x = 1,750.02

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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.