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Finding the Fourth Proportional to 3,265.96, 4,898.94 and 1,184.80

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Solution

The fourth proportional to 3,265.96, 4,898.94 and 1,184.80 is: 1,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.96 : 4,898.94 = 1,184.80 : x
  2. Step 2: Convert to fraction form
    3,265.96/4,898.94 = 1,184.80/x
  3. Step 3: Cross multiply
    3,265.96x = 4,898.94 × 1,184.80
  4. Step 4: Simplify right side
    3,265.96x = 5,804,264.11
  5. Step 5: Solve for x
    x = 5,804,264.11/3,265.96
  6. Step 6: Final answer
    x = 1,777.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.