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Finding the Fourth Proportional to 3,461.94, 4,777.38 and 1,969.74

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Solution

The fourth proportional to 3,461.94, 4,777.38 and 1,969.74 is: 2,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.94 : 4,777.38 = 1,969.74 : x
  2. Step 2: Convert to fraction form
    3,461.94/4,777.38 = 1,969.74/x
  3. Step 3: Cross multiply
    3,461.94x = 4,777.38 × 1,969.74
  4. Step 4: Simplify right side
    3,461.94x = 9,410,196.48
  5. Step 5: Solve for x
    x = 9,410,196.48/3,461.94
  6. Step 6: Final answer
    x = 2,718.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.