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Finding the Fourth Proportional to 1,619.06, 2,428.46 and 579.83

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Solution

The fourth proportional to 1,619.06, 2,428.46 and 579.83 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.06 : 2,428.46 = 579.83 : x
  2. Step 2: Convert to fraction form
    1,619.06/2,428.46 = 579.83/x
  3. Step 3: Cross multiply
    1,619.06x = 2,428.46 × 579.83
  4. Step 4: Simplify right side
    1,619.06x = 1,408,097.13
  5. Step 5: Solve for x
    x = 1,408,097.13/1,619.06
  6. Step 6: Final answer
    x = 869.70

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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.