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Finding the Fourth Proportional to 3,409.80, 4,706.28 and 2,230.20

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Solution

The fourth proportional to 3,409.80, 4,706.28 and 2,230.20 is: 3,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.80 : 4,706.28 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    3,409.80/4,706.28 = 2,230.20/x
  3. Step 3: Cross multiply
    3,409.80x = 4,706.28 × 2,230.20
  4. Step 4: Simplify right side
    3,409.80x = 10,495,945.66
  5. Step 5: Solve for x
    x = 10,495,945.66/3,409.80
  6. Step 6: Final answer
    x = 3,078.17

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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.