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Finding the Fourth Proportional to 2,251.80, 3,106.76 and 1,412.84

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Solution

The fourth proportional to 2,251.80, 3,106.76 and 1,412.84 is: 1,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.80 : 3,106.76 = 1,412.84 : x
  2. Step 2: Convert to fraction form
    2,251.80/3,106.76 = 1,412.84/x
  3. Step 3: Cross multiply
    2,251.80x = 3,106.76 × 1,412.84
  4. Step 4: Simplify right side
    2,251.80x = 4,389,355.50
  5. Step 5: Solve for x
    x = 4,389,355.50/2,251.80
  6. Step 6: Final answer
    x = 1,949.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.