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Finding the Fourth Proportional to 2,950.03, 4,424.25 and 869.42

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Solution

The fourth proportional to 2,950.03, 4,424.25 and 869.42 is: 1,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.03 : 4,424.25 = 869.42 : x
  2. Step 2: Convert to fraction form
    2,950.03/4,424.25 = 869.42/x
  3. Step 3: Cross multiply
    2,950.03x = 4,424.25 × 869.42
  4. Step 4: Simplify right side
    2,950.03x = 3,846,531.44
  5. Step 5: Solve for x
    x = 3,846,531.44/2,950.03
  6. Step 6: Final answer
    x = 1,303.90

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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.