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Finding the Fourth Proportional to 1,922.81, 2,883.90 and 536.00

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Solution

The fourth proportional to 1,922.81, 2,883.90 and 536.00 is: 803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.81 : 2,883.90 = 536.00 : x
  2. Step 2: Convert to fraction form
    1,922.81/2,883.90 = 536.00/x
  3. Step 3: Cross multiply
    1,922.81x = 2,883.90 × 536.00
  4. Step 4: Simplify right side
    1,922.81x = 1,545,755.98
  5. Step 5: Solve for x
    x = 1,545,755.98/1,922.81
  6. Step 6: Final answer
    x = 803.91

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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.