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Finding the Fourth Proportional to 3,461.36, 4,777.07 and 1,969.50

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Solution

The fourth proportional to 3,461.36, 4,777.07 and 1,969.50 is: 2,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.36 : 4,777.07 = 1,969.50 : x
  2. Step 2: Convert to fraction form
    3,461.36/4,777.07 = 1,969.50/x
  3. Step 3: Cross multiply
    3,461.36x = 4,777.07 × 1,969.50
  4. Step 4: Simplify right side
    3,461.36x = 9,408,429.52
  5. Step 5: Solve for x
    x = 9,408,429.52/3,461.36
  6. Step 6: Final answer
    x = 2,718.13

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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.