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Finding the Fourth Proportional to 1,396.35, 2,094.88 and 986.29

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Solution

The fourth proportional to 1,396.35, 2,094.88 and 986.29 is: 1,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.35 : 2,094.88 = 986.29 : x
  2. Step 2: Convert to fraction form
    1,396.35/2,094.88 = 986.29/x
  3. Step 3: Cross multiply
    1,396.35x = 2,094.88 × 986.29
  4. Step 4: Simplify right side
    1,396.35x = 2,066,143.79
  5. Step 5: Solve for x
    x = 2,066,143.79/1,396.35
  6. Step 6: Final answer
    x = 1,479.68

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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.