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Finding the Fourth Proportional to 3,164.62, 4,747.56 and 973.27

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Solution

The fourth proportional to 3,164.62, 4,747.56 and 973.27 is: 1,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.62 : 4,747.56 = 973.27 : x
  2. Step 2: Convert to fraction form
    3,164.62/4,747.56 = 973.27/x
  3. Step 3: Cross multiply
    3,164.62x = 4,747.56 × 973.27
  4. Step 4: Simplify right side
    3,164.62x = 4,620,638.78
  5. Step 5: Solve for x
    x = 4,620,638.78/3,164.62
  6. Step 6: Final answer
    x = 1,460.09

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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.