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Finding the Fourth Proportional to 2,808.24, 4,212.58 and 860.20

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Solution

The fourth proportional to 2,808.24, 4,212.58 and 860.20 is: 1,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.24 : 4,212.58 = 860.20 : x
  2. Step 2: Convert to fraction form
    2,808.24/4,212.58 = 860.20/x
  3. Step 3: Cross multiply
    2,808.24x = 4,212.58 × 860.20
  4. Step 4: Simplify right side
    2,808.24x = 3,623,661.32
  5. Step 5: Solve for x
    x = 3,623,661.32/2,808.24
  6. Step 6: Final answer
    x = 1,290.37

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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.