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Finding the Fourth Proportional to 1,834.61, 2,538.33 and 1,602.41

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Solution

The fourth proportional to 1,834.61, 2,538.33 and 1,602.41 is: 2,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.61 : 2,538.33 = 1,602.41 : x
  2. Step 2: Convert to fraction form
    1,834.61/2,538.33 = 1,602.41/x
  3. Step 3: Cross multiply
    1,834.61x = 2,538.33 × 1,602.41
  4. Step 4: Simplify right side
    1,834.61x = 4,067,451.72
  5. Step 5: Solve for x
    x = 4,067,451.72/1,834.61
  6. Step 6: Final answer
    x = 2,217.06

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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.