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Finding the Fourth Proportional to 3,123.70, 4,684.80 and 1,804.60

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Solution

The fourth proportional to 3,123.70, 4,684.80 and 1,804.60 is: 2,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.70 : 4,684.80 = 1,804.60 : x
  2. Step 2: Convert to fraction form
    3,123.70/4,684.80 = 1,804.60/x
  3. Step 3: Cross multiply
    3,123.70x = 4,684.80 × 1,804.60
  4. Step 4: Simplify right side
    3,123.70x = 8,454,190.08
  5. Step 5: Solve for x
    x = 8,454,190.08/3,123.70
  6. Step 6: Final answer
    x = 2,706.47

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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.