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Finding the Fourth Proportional to 1,619.12, 2,428.86 and 579.26

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Solution

The fourth proportional to 1,619.12, 2,428.86 and 579.26 is: 868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.12 : 2,428.86 = 579.26 : x
  2. Step 2: Convert to fraction form
    1,619.12/2,428.86 = 579.26/x
  3. Step 3: Cross multiply
    1,619.12x = 2,428.86 × 579.26
  4. Step 4: Simplify right side
    1,619.12x = 1,406,938.55
  5. Step 5: Solve for x
    x = 1,406,938.55/1,619.12
  6. Step 6: Final answer
    x = 868.96

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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.