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Finding the Fourth Proportional to 1,620.28, 2,430.93 and 580.26

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Solution

The fourth proportional to 1,620.28, 2,430.93 and 580.26 is: 870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.28 : 2,430.93 = 580.26 : x
  2. Step 2: Convert to fraction form
    1,620.28/2,430.93 = 580.26/x
  3. Step 3: Cross multiply
    1,620.28x = 2,430.93 × 580.26
  4. Step 4: Simplify right side
    1,620.28x = 1,410,571.44
  5. Step 5: Solve for x
    x = 1,410,571.44/1,620.28
  6. Step 6: Final answer
    x = 870.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.