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Finding the Fourth Proportional to 1,719.25, 2,576.74 and 622.41

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Solution

The fourth proportional to 1,719.25, 2,576.74 and 622.41 is: 932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.25 : 2,576.74 = 622.41 : x
  2. Step 2: Convert to fraction form
    1,719.25/2,576.74 = 622.41/x
  3. Step 3: Cross multiply
    1,719.25x = 2,576.74 × 622.41
  4. Step 4: Simplify right side
    1,719.25x = 1,603,787.19
  5. Step 5: Solve for x
    x = 1,603,787.19/1,719.25
  6. Step 6: Final answer
    x = 932.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.