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Finding the Fourth Proportional to 1,722.84, 2,581.94 and 941.67

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Solution

The fourth proportional to 1,722.84, 2,581.94 and 941.67 is: 1,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.84 : 2,581.94 = 941.67 : x
  2. Step 2: Convert to fraction form
    1,722.84/2,581.94 = 941.67/x
  3. Step 3: Cross multiply
    1,722.84x = 2,581.94 × 941.67
  4. Step 4: Simplify right side
    1,722.84x = 2,431,335.44
  5. Step 5: Solve for x
    x = 2,431,335.44/1,722.84
  6. Step 6: Final answer
    x = 1,411.24

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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.