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Finding the Fourth Proportional to 2,800.12, 4,201.10 and 1,412.80

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Solution

The fourth proportional to 2,800.12, 4,201.10 and 1,412.80 is: 2,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.12 : 4,201.10 = 1,412.80 : x
  2. Step 2: Convert to fraction form
    2,800.12/4,201.10 = 1,412.80/x
  3. Step 3: Cross multiply
    2,800.12x = 4,201.10 × 1,412.80
  4. Step 4: Simplify right side
    2,800.12x = 5,935,314.08
  5. Step 5: Solve for x
    x = 5,935,314.08/2,800.12
  6. Step 6: Final answer
    x = 2,119.66

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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.