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Finding the Fourth Proportional to 2,323.40, 3,477.90 and 2,193.80

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Solution

The fourth proportional to 2,323.40, 3,477.90 and 2,193.80 is: 3,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.40 : 3,477.90 = 2,193.80 : x
  2. Step 2: Convert to fraction form
    2,323.40/3,477.90 = 2,193.80/x
  3. Step 3: Cross multiply
    2,323.40x = 3,477.90 × 2,193.80
  4. Step 4: Simplify right side
    2,323.40x = 7,629,817.02
  5. Step 5: Solve for x
    x = 7,629,817.02/2,323.40
  6. Step 6: Final answer
    x = 3,283.90

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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.