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Finding the Fourth Proportional to 1,964.71, 2,712.56 and 1,219.46

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Solution

The fourth proportional to 1,964.71, 2,712.56 and 1,219.46 is: 1,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.71 : 2,712.56 = 1,219.46 : x
  2. Step 2: Convert to fraction form
    1,964.71/2,712.56 = 1,219.46/x
  3. Step 3: Cross multiply
    1,964.71x = 2,712.56 × 1,219.46
  4. Step 4: Simplify right side
    1,964.71x = 3,307,858.42
  5. Step 5: Solve for x
    x = 3,307,858.42/1,964.71
  6. Step 6: Final answer
    x = 1,683.64

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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.