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Finding the Fourth Proportional to 1,620.47, 2,430.09 and 580.29

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Solution

The fourth proportional to 1,620.47, 2,430.09 and 580.29 is: 870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.47 : 2,430.09 = 580.29 : x
  2. Step 2: Convert to fraction form
    1,620.47/2,430.09 = 580.29/x
  3. Step 3: Cross multiply
    1,620.47x = 2,430.09 × 580.29
  4. Step 4: Simplify right side
    1,620.47x = 1,410,147.81
  5. Step 5: Solve for x
    x = 1,410,147.81/1,620.47
  6. Step 6: Final answer
    x = 870.21

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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.