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Finding the Fourth Proportional to 1,682.22, 2,522.78 and 586.34

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Solution

The fourth proportional to 1,682.22, 2,522.78 and 586.34 is: 879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.22 : 2,522.78 = 586.34 : x
  2. Step 2: Convert to fraction form
    1,682.22/2,522.78 = 586.34/x
  3. Step 3: Cross multiply
    1,682.22x = 2,522.78 × 586.34
  4. Step 4: Simplify right side
    1,682.22x = 1,479,206.83
  5. Step 5: Solve for x
    x = 1,479,206.83/1,682.22
  6. Step 6: Final answer
    x = 879.32

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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.