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Finding the Fourth Proportional to 1,883.14, 2,824.65 and 650.67

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Solution

The fourth proportional to 1,883.14, 2,824.65 and 650.67 is: 975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.14 : 2,824.65 = 650.67 : x
  2. Step 2: Convert to fraction form
    1,883.14/2,824.65 = 650.67/x
  3. Step 3: Cross multiply
    1,883.14x = 2,824.65 × 650.67
  4. Step 4: Simplify right side
    1,883.14x = 1,837,915.02
  5. Step 5: Solve for x
    x = 1,837,915.02/1,883.14
  6. Step 6: Final answer
    x = 975.98

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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.