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Finding the Fourth Proportional to 1,726.09, 2,589.48 and 630.32

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Solution

The fourth proportional to 1,726.09, 2,589.48 and 630.32 is: 945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.09 : 2,589.48 = 630.32 : x
  2. Step 2: Convert to fraction form
    1,726.09/2,589.48 = 630.32/x
  3. Step 3: Cross multiply
    1,726.09x = 2,589.48 × 630.32
  4. Step 4: Simplify right side
    1,726.09x = 1,632,188.09
  5. Step 5: Solve for x
    x = 1,632,188.09/1,726.09
  6. Step 6: Final answer
    x = 945.60

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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.