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Finding the Fourth Proportional to 3,461.54, 4,776.98 and 1,969.52

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Solution

The fourth proportional to 3,461.54, 4,776.98 and 1,969.52 is: 2,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.54 : 4,776.98 = 1,969.52 : x
  2. Step 2: Convert to fraction form
    3,461.54/4,776.98 = 1,969.52/x
  3. Step 3: Cross multiply
    3,461.54x = 4,776.98 × 1,969.52
  4. Step 4: Simplify right side
    3,461.54x = 9,408,323.92
  5. Step 5: Solve for x
    x = 9,408,323.92/3,461.54
  6. Step 6: Final answer
    x = 2,717.96

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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.