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Finding the Fourth Proportional to 3,446.40, 4,756.48 and 1,954.80

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Solution

The fourth proportional to 3,446.40, 4,756.48 and 1,954.80 is: 2,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.40 : 4,756.48 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    3,446.40/4,756.48 = 1,954.80/x
  3. Step 3: Cross multiply
    3,446.40x = 4,756.48 × 1,954.80
  4. Step 4: Simplify right side
    3,446.40x = 9,297,967.10
  5. Step 5: Solve for x
    x = 9,297,967.10/3,446.40
  6. Step 6: Final answer
    x = 2,697.88

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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.