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Finding the Fourth Proportional to 3,461.62, 4,776.39 and 1,969.44

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Solution

The fourth proportional to 3,461.62, 4,776.39 and 1,969.44 is: 2,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.62 : 4,776.39 = 1,969.44 : x
  2. Step 2: Convert to fraction form
    3,461.62/4,776.39 = 1,969.44/x
  3. Step 3: Cross multiply
    3,461.62x = 4,776.39 × 1,969.44
  4. Step 4: Simplify right side
    3,461.62x = 9,406,831.43
  5. Step 5: Solve for x
    x = 9,406,831.43/3,461.62
  6. Step 6: Final answer
    x = 2,717.47

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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.