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Finding the Fourth Proportional to 2,254.40, 3,378.40 and 1,664.80

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Solution

The fourth proportional to 2,254.40, 3,378.40 and 1,664.80 is: 2,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.40 : 3,378.40 = 1,664.80 : x
  2. Step 2: Convert to fraction form
    2,254.40/3,378.40 = 1,664.80/x
  3. Step 3: Cross multiply
    2,254.40x = 3,378.40 × 1,664.80
  4. Step 4: Simplify right side
    2,254.40x = 5,624,360.32
  5. Step 5: Solve for x
    x = 5,624,360.32/2,254.40
  6. Step 6: Final answer
    x = 2,494.84

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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.