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Finding the Fourth Proportional to 1,965.69, 2,960.17 and 1,421.69

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Solution

The fourth proportional to 1,965.69, 2,960.17 and 1,421.69 is: 2,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.69 : 2,960.17 = 1,421.69 : x
  2. Step 2: Convert to fraction form
    1,965.69/2,960.17 = 1,421.69/x
  3. Step 3: Cross multiply
    1,965.69x = 2,960.17 × 1,421.69
  4. Step 4: Simplify right side
    1,965.69x = 4,208,425.73
  5. Step 5: Solve for x
    x = 4,208,425.73/1,965.69
  6. Step 6: Final answer
    x = 2,140.94

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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.