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Finding the Fourth Proportional to 1,311.28, 1,967.40 and 1,234

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Solution

The fourth proportional to 1,311.28, 1,967.40 and 1,234 is: 1,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.28 : 1,967.40 = 1,234 : x
  2. Step 2: Convert to fraction form
    1,311.28/1,967.40 = 1,234/x
  3. Step 3: Cross multiply
    1,311.28x = 1,967.40 × 1,234
  4. Step 4: Simplify right side
    1,311.28x = 2,427,771.60
  5. Step 5: Solve for x
    x = 2,427,771.60/1,311.28
  6. Step 6: Final answer
    x = 1,851.45

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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.