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Finding the Fourth Proportional to 1,228.76, 1,685.80 and 1,218.68

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Solution

The fourth proportional to 1,228.76, 1,685.80 and 1,218.68 is: 1,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.76 : 1,685.80 = 1,218.68 : x
  2. Step 2: Convert to fraction form
    1,228.76/1,685.80 = 1,218.68/x
  3. Step 3: Cross multiply
    1,228.76x = 1,685.80 × 1,218.68
  4. Step 4: Simplify right side
    1,228.76x = 2,054,450.74
  5. Step 5: Solve for x
    x = 2,054,450.74/1,228.76
  6. Step 6: Final answer
    x = 1,671.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.