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Finding the Fourth Proportional to 1,883.61, 2,824.71 and 650.68

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Solution

The fourth proportional to 1,883.61, 2,824.71 and 650.68 is: 975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.61 : 2,824.71 = 650.68 : x
  2. Step 2: Convert to fraction form
    1,883.61/2,824.71 = 650.68/x
  3. Step 3: Cross multiply
    1,883.61x = 2,824.71 × 650.68
  4. Step 4: Simplify right side
    1,883.61x = 1,837,982.30
  5. Step 5: Solve for x
    x = 1,837,982.30/1,883.61
  6. Step 6: Final answer
    x = 975.78

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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.