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Finding the Fourth Proportional to 1,231.74, 1,836.72 and 1,220.76

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Solution

The fourth proportional to 1,231.74, 1,836.72 and 1,220.76 is: 1,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.74 : 1,836.72 = 1,220.76 : x
  2. Step 2: Convert to fraction form
    1,231.74/1,836.72 = 1,220.76/x
  3. Step 3: Cross multiply
    1,231.74x = 1,836.72 × 1,220.76
  4. Step 4: Simplify right side
    1,231.74x = 2,242,194.31
  5. Step 5: Solve for x
    x = 2,242,194.31/1,231.74
  6. Step 6: Final answer
    x = 1,820.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.