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Finding the Fourth Proportional to 1,618.62, 2,428.23 and 1,071.26

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Solution

The fourth proportional to 1,618.62, 2,428.23 and 1,071.26 is: 1,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.62 : 2,428.23 = 1,071.26 : x
  2. Step 2: Convert to fraction form
    1,618.62/2,428.23 = 1,071.26/x
  3. Step 3: Cross multiply
    1,618.62x = 2,428.23 × 1,071.26
  4. Step 4: Simplify right side
    1,618.62x = 2,601,265.67
  5. Step 5: Solve for x
    x = 2,601,265.67/1,618.62
  6. Step 6: Final answer
    x = 1,607.09

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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.