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Finding the Fourth Proportional to 2,864.84, 3,954.66 and 1,969.86

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Solution

The fourth proportional to 2,864.84, 3,954.66 and 1,969.86 is: 2,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.84 : 3,954.66 = 1,969.86 : x
  2. Step 2: Convert to fraction form
    2,864.84/3,954.66 = 1,969.86/x
  3. Step 3: Cross multiply
    2,864.84x = 3,954.66 × 1,969.86
  4. Step 4: Simplify right side
    2,864.84x = 7,790,126.55
  5. Step 5: Solve for x
    x = 7,790,126.55/2,864.84
  6. Step 6: Final answer
    x = 2,719.22

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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.