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Finding the Fourth Proportional to 1,813.97, 2,732.13 and 1,685.64

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Solution

The fourth proportional to 1,813.97, 2,732.13 and 1,685.64 is: 2,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.97 : 2,732.13 = 1,685.64 : x
  2. Step 2: Convert to fraction form
    1,813.97/2,732.13 = 1,685.64/x
  3. Step 3: Cross multiply
    1,813.97x = 2,732.13 × 1,685.64
  4. Step 4: Simplify right side
    1,813.97x = 4,605,374.81
  5. Step 5: Solve for x
    x = 4,605,374.81/1,813.97
  6. Step 6: Final answer
    x = 2,538.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.