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Finding the Fourth Proportional to 2,323.50, 3,485.42 and 763.10

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Solution

The fourth proportional to 2,323.50, 3,485.42 and 763.10 is: 1,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.50 : 3,485.42 = 763.10 : x
  2. Step 2: Convert to fraction form
    2,323.50/3,485.42 = 763.10/x
  3. Step 3: Cross multiply
    2,323.50x = 3,485.42 × 763.10
  4. Step 4: Simplify right side
    2,323.50x = 2,659,724.00
  5. Step 5: Solve for x
    x = 2,659,724.00/2,323.50
  6. Step 6: Final answer
    x = 1,144.71

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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.