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Finding the Fourth Proportional to 1,968.69, 2,964.69 and 1,424.69

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Solution

The fourth proportional to 1,968.69, 2,964.69 and 1,424.69 is: 2,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.69 : 2,964.69 = 1,424.69 : x
  2. Step 2: Convert to fraction form
    1,968.69/2,964.69 = 1,424.69/x
  3. Step 3: Cross multiply
    1,968.69x = 2,964.69 × 1,424.69
  4. Step 4: Simplify right side
    1,968.69x = 4,223,749.37
  5. Step 5: Solve for x
    x = 4,223,749.37/1,968.69
  6. Step 6: Final answer
    x = 2,145.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.