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Finding the Fourth Proportional to 1,778.88, 2,454.81 and 982.26

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Solution

The fourth proportional to 1,778.88, 2,454.81 and 982.26 is: 1,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.88 : 2,454.81 = 982.26 : x
  2. Step 2: Convert to fraction form
    1,778.88/2,454.81 = 982.26/x
  3. Step 3: Cross multiply
    1,778.88x = 2,454.81 × 982.26
  4. Step 4: Simplify right side
    1,778.88x = 2,411,261.67
  5. Step 5: Solve for x
    x = 2,411,261.67/1,778.88
  6. Step 6: Final answer
    x = 1,355.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.