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Finding the Fourth Proportional to 1,619.56, 2,429.77 and 579.67

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Solution

The fourth proportional to 1,619.56, 2,429.77 and 579.67 is: 869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.56 : 2,429.77 = 579.67 : x
  2. Step 2: Convert to fraction form
    1,619.56/2,429.77 = 579.67/x
  3. Step 3: Cross multiply
    1,619.56x = 2,429.77 × 579.67
  4. Step 4: Simplify right side
    1,619.56x = 1,408,464.78
  5. Step 5: Solve for x
    x = 1,408,464.78/1,619.56
  6. Step 6: Final answer
    x = 869.66

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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.