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Finding the Fourth Proportional to 1,817.64, 2,713.23 and 1,682.24

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Solution

The fourth proportional to 1,817.64, 2,713.23 and 1,682.24 is: 2,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.64 : 2,713.23 = 1,682.24 : x
  2. Step 2: Convert to fraction form
    1,817.64/2,713.23 = 1,682.24/x
  3. Step 3: Cross multiply
    1,817.64x = 2,713.23 × 1,682.24
  4. Step 4: Simplify right side
    1,817.64x = 4,564,290.47
  5. Step 5: Solve for x
    x = 4,564,290.47/1,817.64
  6. Step 6: Final answer
    x = 2,511.11

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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.