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Finding the Fourth Proportional to 1,767.83, 2,651.84 and 535.21

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Solution

The fourth proportional to 1,767.83, 2,651.84 and 535.21 is: 802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.83 : 2,651.84 = 535.21 : x
  2. Step 2: Convert to fraction form
    1,767.83/2,651.84 = 535.21/x
  3. Step 3: Cross multiply
    1,767.83x = 2,651.84 × 535.21
  4. Step 4: Simplify right side
    1,767.83x = 1,419,285.99
  5. Step 5: Solve for x
    x = 1,419,285.99/1,767.83
  6. Step 6: Final answer
    x = 802.84

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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.