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Finding the Fourth Proportional to 1,722.67, 2,585.06 and 682.49

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Solution

The fourth proportional to 1,722.67, 2,585.06 and 682.49 is: 1,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.67 : 2,585.06 = 682.49 : x
  2. Step 2: Convert to fraction form
    1,722.67/2,585.06 = 682.49/x
  3. Step 3: Cross multiply
    1,722.67x = 2,585.06 × 682.49
  4. Step 4: Simplify right side
    1,722.67x = 1,764,277.60
  5. Step 5: Solve for x
    x = 1,764,277.60/1,722.67
  6. Step 6: Final answer
    x = 1,024.15

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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.