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Finding the Fourth Proportional to 1,231.47, 1,841.69 and 1,116.63

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Solution

The fourth proportional to 1,231.47, 1,841.69 and 1,116.63 is: 1,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.47 : 1,841.69 = 1,116.63 : x
  2. Step 2: Convert to fraction form
    1,231.47/1,841.69 = 1,116.63/x
  3. Step 3: Cross multiply
    1,231.47x = 1,841.69 × 1,116.63
  4. Step 4: Simplify right side
    1,231.47x = 2,056,480.72
  5. Step 5: Solve for x
    x = 2,056,480.72/1,231.47
  6. Step 6: Final answer
    x = 1,669.94

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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.