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Finding the Fourth Proportional to 1,950.01, 2,924.98 and 563.29

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Solution

The fourth proportional to 1,950.01, 2,924.98 and 563.29 is: 844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.01 : 2,924.98 = 563.29 : x
  2. Step 2: Convert to fraction form
    1,950.01/2,924.98 = 563.29/x
  3. Step 3: Cross multiply
    1,950.01x = 2,924.98 × 563.29
  4. Step 4: Simplify right side
    1,950.01x = 1,647,603.26
  5. Step 5: Solve for x
    x = 1,647,603.26/1,950.01
  6. Step 6: Final answer
    x = 844.92

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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.