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Finding the Fourth Proportional to 1,883.80, 2,825.91 and 651.48

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Solution

The fourth proportional to 1,883.80, 2,825.91 and 651.48 is: 977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.80 : 2,825.91 = 651.48 : x
  2. Step 2: Convert to fraction form
    1,883.80/2,825.91 = 651.48/x
  3. Step 3: Cross multiply
    1,883.80x = 2,825.91 × 651.48
  4. Step 4: Simplify right side
    1,883.80x = 1,841,023.85
  5. Step 5: Solve for x
    x = 1,841,023.85/1,883.80
  6. Step 6: Final answer
    x = 977.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.