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Finding the Fourth Proportional to 1,619.29, 2,428.33 and 579.01

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Solution

The fourth proportional to 1,619.29, 2,428.33 and 579.01 is: 868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.29 : 2,428.33 = 579.01 : x
  2. Step 2: Convert to fraction form
    1,619.29/2,428.33 = 579.01/x
  3. Step 3: Cross multiply
    1,619.29x = 2,428.33 × 579.01
  4. Step 4: Simplify right side
    1,619.29x = 1,406,015.94
  5. Step 5: Solve for x
    x = 1,406,015.94/1,619.29
  6. Step 6: Final answer
    x = 868.29

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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.