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Finding the Fourth Proportional to 1,316.72, 1,964.14 and 1,296.23

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Solution

The fourth proportional to 1,316.72, 1,964.14 and 1,296.23 is: 1,933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.72 : 1,964.14 = 1,296.23 : x
  2. Step 2: Convert to fraction form
    1,316.72/1,964.14 = 1,296.23/x
  3. Step 3: Cross multiply
    1,316.72x = 1,964.14 × 1,296.23
  4. Step 4: Simplify right side
    1,316.72x = 2,545,964.13
  5. Step 5: Solve for x
    x = 2,545,964.13/1,316.72
  6. Step 6: Final answer
    x = 1,933.56

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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.