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Finding the Fourth Proportional to 3,461.71, 4,776.52 and 1,969.54

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Solution

The fourth proportional to 3,461.71, 4,776.52 and 1,969.54 is: 2,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.71 : 4,776.52 = 1,969.54 : x
  2. Step 2: Convert to fraction form
    3,461.71/4,776.52 = 1,969.54/x
  3. Step 3: Cross multiply
    3,461.71x = 4,776.52 × 1,969.54
  4. Step 4: Simplify right side
    3,461.71x = 9,407,530.34
  5. Step 5: Solve for x
    x = 9,407,530.34/3,461.71
  6. Step 6: Final answer
    x = 2,717.60

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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.