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Finding the Fourth Proportional to 1,314.24, 1,968.90 and 1,179

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Solution

The fourth proportional to 1,314.24, 1,968.90 and 1,179 is: 1,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.24 : 1,968.90 = 1,179 : x
  2. Step 2: Convert to fraction form
    1,314.24/1,968.90 = 1,179/x
  3. Step 3: Cross multiply
    1,314.24x = 1,968.90 × 1,179
  4. Step 4: Simplify right side
    1,314.24x = 2,321,333.10
  5. Step 5: Solve for x
    x = 2,321,333.10/1,314.24
  6. Step 6: Final answer
    x = 1,766.29

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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.