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Finding the Fourth Proportional to 2,808.01, 4,212.42 and 860.50

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Solution

The fourth proportional to 2,808.01, 4,212.42 and 860.50 is: 1,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.01 : 4,212.42 = 860.50 : x
  2. Step 2: Convert to fraction form
    2,808.01/4,212.42 = 860.50/x
  3. Step 3: Cross multiply
    2,808.01x = 4,212.42 × 860.50
  4. Step 4: Simplify right side
    2,808.01x = 3,624,787.41
  5. Step 5: Solve for x
    x = 3,624,787.41/2,808.01
  6. Step 6: Final answer
    x = 1,290.87

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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.