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Finding the Fourth Proportional to 1,958.67, 2,938.28 and 572.11

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Solution

The fourth proportional to 1,958.67, 2,938.28 and 572.11 is: 858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.67 : 2,938.28 = 572.11 : x
  2. Step 2: Convert to fraction form
    1,958.67/2,938.28 = 572.11/x
  3. Step 3: Cross multiply
    1,958.67x = 2,938.28 × 572.11
  4. Step 4: Simplify right side
    1,958.67x = 1,681,015.14
  5. Step 5: Solve for x
    x = 1,681,015.14/1,958.67
  6. Step 6: Final answer
    x = 858.24

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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.