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Finding the Fourth Proportional to 2,846.89, 4,268.76 and 1,532.20

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Solution

The fourth proportional to 2,846.89, 4,268.76 and 1,532.20 is: 2,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.89 : 4,268.76 = 1,532.20 : x
  2. Step 2: Convert to fraction form
    2,846.89/4,268.76 = 1,532.20/x
  3. Step 3: Cross multiply
    2,846.89x = 4,268.76 × 1,532.20
  4. Step 4: Simplify right side
    2,846.89x = 6,540,594.07
  5. Step 5: Solve for x
    x = 6,540,594.07/2,846.89
  6. Step 6: Final answer
    x = 2,297.45

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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.