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Finding the Fourth Proportional to 1,978.67, 2,965.62 and 728.26

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Solution

The fourth proportional to 1,978.67, 2,965.62 and 728.26 is: 1,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.67 : 2,965.62 = 728.26 : x
  2. Step 2: Convert to fraction form
    1,978.67/2,965.62 = 728.26/x
  3. Step 3: Cross multiply
    1,978.67x = 2,965.62 × 728.26
  4. Step 4: Simplify right side
    1,978.67x = 2,159,733.64
  5. Step 5: Solve for x
    x = 2,159,733.64/1,978.67
  6. Step 6: Final answer
    x = 1,091.51

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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.