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Finding the Fourth Proportional to 2,900.64, 4,351.72 and 1,256.80

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Solution

The fourth proportional to 2,900.64, 4,351.72 and 1,256.80 is: 1,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.64 : 4,351.72 = 1,256.80 : x
  2. Step 2: Convert to fraction form
    2,900.64/4,351.72 = 1,256.80/x
  3. Step 3: Cross multiply
    2,900.64x = 4,351.72 × 1,256.80
  4. Step 4: Simplify right side
    2,900.64x = 5,469,241.70
  5. Step 5: Solve for x
    x = 5,469,241.70/2,900.64
  6. Step 6: Final answer
    x = 1,885.53

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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.