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Finding the Fourth Proportional to 1,964.16, 2,712 and 1,301.94

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Solution

The fourth proportional to 1,964.16, 2,712 and 1,301.94 is: 1,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.16 : 2,712 = 1,301.94 : x
  2. Step 2: Convert to fraction form
    1,964.16/2,712 = 1,301.94/x
  3. Step 3: Cross multiply
    1,964.16x = 2,712 × 1,301.94
  4. Step 4: Simplify right side
    1,964.16x = 3,530,861.28
  5. Step 5: Solve for x
    x = 3,530,861.28/1,964.16
  6. Step 6: Final answer
    x = 1,797.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.