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Finding the Fourth Proportional to 1,489.86, 2,232.77 and 840.24

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Solution

The fourth proportional to 1,489.86, 2,232.77 and 840.24 is: 1,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.86 : 2,232.77 = 840.24 : x
  2. Step 2: Convert to fraction form
    1,489.86/2,232.77 = 840.24/x
  3. Step 3: Cross multiply
    1,489.86x = 2,232.77 × 840.24
  4. Step 4: Simplify right side
    1,489.86x = 1,876,058.46
  5. Step 5: Solve for x
    x = 1,876,058.46/1,489.86
  6. Step 6: Final answer
    x = 1,259.22

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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.