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Finding the Fourth Proportional to 3,303.69, 4,952.85 and 2,261.08

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Solution

The fourth proportional to 3,303.69, 4,952.85 and 2,261.08 is: 3,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.69 : 4,952.85 = 2,261.08 : x
  2. Step 2: Convert to fraction form
    3,303.69/4,952.85 = 2,261.08/x
  3. Step 3: Cross multiply
    3,303.69x = 4,952.85 × 2,261.08
  4. Step 4: Simplify right side
    3,303.69x = 11,198,790.08
  5. Step 5: Solve for x
    x = 11,198,790.08/3,303.69
  6. Step 6: Final answer
    x = 3,389.78

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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.