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Finding the Fourth Proportional to 3,461.67, 4,776.32 and 1,969.25

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Solution

The fourth proportional to 3,461.67, 4,776.32 and 1,969.25 is: 2,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.67 : 4,776.32 = 1,969.25 : x
  2. Step 2: Convert to fraction form
    3,461.67/4,776.32 = 1,969.25/x
  3. Step 3: Cross multiply
    3,461.67x = 4,776.32 × 1,969.25
  4. Step 4: Simplify right side
    3,461.67x = 9,405,749.20
  5. Step 5: Solve for x
    x = 9,405,749.20/3,461.67
  6. Step 6: Final answer
    x = 2,717.11

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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.