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Finding the Fourth Proportional to 2,323.69, 3,485.99 and 763.63

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Solution

The fourth proportional to 2,323.69, 3,485.99 and 763.63 is: 1,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.69 : 3,485.99 = 763.63 : x
  2. Step 2: Convert to fraction form
    2,323.69/3,485.99 = 763.63/x
  3. Step 3: Cross multiply
    2,323.69x = 3,485.99 × 763.63
  4. Step 4: Simplify right side
    2,323.69x = 2,661,995.44
  5. Step 5: Solve for x
    x = 2,661,995.44/2,323.69
  6. Step 6: Final answer
    x = 1,145.59

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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.