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Finding the Fourth Proportional to 3,461.37, 4,776.19 and 1,969.41

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Solution

The fourth proportional to 3,461.37, 4,776.19 and 1,969.41 is: 2,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.37 : 4,776.19 = 1,969.41 : x
  2. Step 2: Convert to fraction form
    3,461.37/4,776.19 = 1,969.41/x
  3. Step 3: Cross multiply
    3,461.37x = 4,776.19 × 1,969.41
  4. Step 4: Simplify right side
    3,461.37x = 9,406,276.35
  5. Step 5: Solve for x
    x = 9,406,276.35/3,461.37
  6. Step 6: Final answer
    x = 2,717.50

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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.