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Finding the Fourth Proportional to 2,810.42, 4,212.10 and 1,329.64

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Solution

The fourth proportional to 2,810.42, 4,212.10 and 1,329.64 is: 1,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.42 : 4,212.10 = 1,329.64 : x
  2. Step 2: Convert to fraction form
    2,810.42/4,212.10 = 1,329.64/x
  3. Step 3: Cross multiply
    2,810.42x = 4,212.10 × 1,329.64
  4. Step 4: Simplify right side
    2,810.42x = 5,600,579.62
  5. Step 5: Solve for x
    x = 5,600,579.62/2,810.42
  6. Step 6: Final answer
    x = 1,992.79

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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.