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Finding the Fourth Proportional to 3,461.48, 4,776.69 and 1,969.52

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Solution

The fourth proportional to 3,461.48, 4,776.69 and 1,969.52 is: 2,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.48 : 4,776.69 = 1,969.52 : x
  2. Step 2: Convert to fraction form
    3,461.48/4,776.69 = 1,969.52/x
  3. Step 3: Cross multiply
    3,461.48x = 4,776.69 × 1,969.52
  4. Step 4: Simplify right side
    3,461.48x = 9,407,786.49
  5. Step 5: Solve for x
    x = 9,407,786.49/3,461.48
  6. Step 6: Final answer
    x = 2,717.85

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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.