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Finding the Fourth Proportional to 1,722.56, 2,583.84 and 1,465.52

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Solution

The fourth proportional to 1,722.56, 2,583.84 and 1,465.52 is: 2,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.56 : 2,583.84 = 1,465.52 : x
  2. Step 2: Convert to fraction form
    1,722.56/2,583.84 = 1,465.52/x
  3. Step 3: Cross multiply
    1,722.56x = 2,583.84 × 1,465.52
  4. Step 4: Simplify right side
    1,722.56x = 3,786,669.20
  5. Step 5: Solve for x
    x = 3,786,669.20/1,722.56
  6. Step 6: Final answer
    x = 2,198.28

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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.