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Finding the Fourth Proportional to 1,884.96, 2,828.96 and 1,299.60

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Solution

The fourth proportional to 1,884.96, 2,828.96 and 1,299.60 is: 1,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.96 : 2,828.96 = 1,299.60 : x
  2. Step 2: Convert to fraction form
    1,884.96/2,828.96 = 1,299.60/x
  3. Step 3: Cross multiply
    1,884.96x = 2,828.96 × 1,299.60
  4. Step 4: Simplify right side
    1,884.96x = 3,676,516.42
  5. Step 5: Solve for x
    x = 3,676,516.42/1,884.96
  6. Step 6: Final answer
    x = 1,950.45

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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.