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Finding the Fourth Proportional to 1,949.18, 2,924.22 and 632.93

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Solution

The fourth proportional to 1,949.18, 2,924.22 and 632.93 is: 949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.18 : 2,924.22 = 632.93 : x
  2. Step 2: Convert to fraction form
    1,949.18/2,924.22 = 632.93/x
  3. Step 3: Cross multiply
    1,949.18x = 2,924.22 × 632.93
  4. Step 4: Simplify right side
    1,949.18x = 1,850,811.94
  5. Step 5: Solve for x
    x = 1,850,811.94/1,949.18
  6. Step 6: Final answer
    x = 949.54

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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.