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Finding the Fourth Proportional to 1,972.33, 2,958.50 and 585.67

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Solution

The fourth proportional to 1,972.33, 2,958.50 and 585.67 is: 878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.33 : 2,958.50 = 585.67 : x
  2. Step 2: Convert to fraction form
    1,972.33/2,958.50 = 585.67/x
  3. Step 3: Cross multiply
    1,972.33x = 2,958.50 × 585.67
  4. Step 4: Simplify right side
    1,972.33x = 1,732,704.70
  5. Step 5: Solve for x
    x = 1,732,704.70/1,972.33
  6. Step 6: Final answer
    x = 878.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.