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Finding the Fourth Proportional to 1,314.98, 1,964.76 and 1,268.99

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Solution

The fourth proportional to 1,314.98, 1,964.76 and 1,268.99 is: 1,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.98 : 1,964.76 = 1,268.99 : x
  2. Step 2: Convert to fraction form
    1,314.98/1,964.76 = 1,268.99/x
  3. Step 3: Cross multiply
    1,314.98x = 1,964.76 × 1,268.99
  4. Step 4: Simplify right side
    1,314.98x = 2,493,253.14
  5. Step 5: Solve for x
    x = 2,493,253.14/1,314.98
  6. Step 6: Final answer
    x = 1,896.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.