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Finding the Fourth Proportional to 1,816.97, 2,503.56 and 1,226.48

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Solution

The fourth proportional to 1,816.97, 2,503.56 and 1,226.48 is: 1,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.97 : 2,503.56 = 1,226.48 : x
  2. Step 2: Convert to fraction form
    1,816.97/2,503.56 = 1,226.48/x
  3. Step 3: Cross multiply
    1,816.97x = 2,503.56 × 1,226.48
  4. Step 4: Simplify right side
    1,816.97x = 3,070,566.27
  5. Step 5: Solve for x
    x = 3,070,566.27/1,816.97
  6. Step 6: Final answer
    x = 1,689.94

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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.