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Finding the Fourth Proportional to 3,466.40, 4,784.21 and 1,974.11

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Solution

The fourth proportional to 3,466.40, 4,784.21 and 1,974.11 is: 2,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.40 : 4,784.21 = 1,974.11 : x
  2. Step 2: Convert to fraction form
    3,466.40/4,784.21 = 1,974.11/x
  3. Step 3: Cross multiply
    3,466.40x = 4,784.21 × 1,974.11
  4. Step 4: Simplify right side
    3,466.40x = 9,444,556.80
  5. Step 5: Solve for x
    x = 9,444,556.80/3,466.40
  6. Step 6: Final answer
    x = 2,724.60

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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.