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Finding the Fourth Proportional to 1,883.45, 2,821.77 and 785.90

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Solution

The fourth proportional to 1,883.45, 2,821.77 and 785.90 is: 1,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.45 : 2,821.77 = 785.90 : x
  2. Step 2: Convert to fraction form
    1,883.45/2,821.77 = 785.90/x
  3. Step 3: Cross multiply
    1,883.45x = 2,821.77 × 785.90
  4. Step 4: Simplify right side
    1,883.45x = 2,217,636.10
  5. Step 5: Solve for x
    x = 2,217,636.10/1,883.45
  6. Step 6: Final answer
    x = 1,177.43

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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.