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Finding the Fourth Proportional to 3,409.36, 4,702.73 and 2,230.40

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Solution

The fourth proportional to 3,409.36, 4,702.73 and 2,230.40 is: 3,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.36 : 4,702.73 = 2,230.40 : x
  2. Step 2: Convert to fraction form
    3,409.36/4,702.73 = 2,230.40/x
  3. Step 3: Cross multiply
    3,409.36x = 4,702.73 × 2,230.40
  4. Step 4: Simplify right side
    3,409.36x = 10,488,969.60
  5. Step 5: Solve for x
    x = 10,488,969.60/3,409.36
  6. Step 6: Final answer
    x = 3,076.52

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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.