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Finding the Fourth Proportional to 1,928.67, 2,892.96 and 630.42

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Solution

The fourth proportional to 1,928.67, 2,892.96 and 630.42 is: 945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.67 : 2,892.96 = 630.42 : x
  2. Step 2: Convert to fraction form
    1,928.67/2,892.96 = 630.42/x
  3. Step 3: Cross multiply
    1,928.67x = 2,892.96 × 630.42
  4. Step 4: Simplify right side
    1,928.67x = 1,823,779.84
  5. Step 5: Solve for x
    x = 1,823,779.84/1,928.67
  6. Step 6: Final answer
    x = 945.62

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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.