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Finding the Fourth Proportional to 3,461.59, 4,777.26 and 1,969.57

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Solution

The fourth proportional to 3,461.59, 4,777.26 and 1,969.57 is: 2,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.59 : 4,777.26 = 1,969.57 : x
  2. Step 2: Convert to fraction form
    3,461.59/4,777.26 = 1,969.57/x
  3. Step 3: Cross multiply
    3,461.59x = 4,777.26 × 1,969.57
  4. Step 4: Simplify right side
    3,461.59x = 9,409,124.09
  5. Step 5: Solve for x
    x = 9,409,124.09/3,461.59
  6. Step 6: Final answer
    x = 2,718.15

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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.