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Finding the Fourth Proportional to 1,620.09, 2,430.56 and 580.19

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Solution

The fourth proportional to 1,620.09, 2,430.56 and 580.19 is: 870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.09 : 2,430.56 = 580.19 : x
  2. Step 2: Convert to fraction form
    1,620.09/2,430.56 = 580.19/x
  3. Step 3: Cross multiply
    1,620.09x = 2,430.56 × 580.19
  4. Step 4: Simplify right side
    1,620.09x = 1,410,171.55
  5. Step 5: Solve for x
    x = 1,410,171.55/1,620.09
  6. Step 6: Final answer
    x = 870.43

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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.