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Finding the Fourth Proportional to 1,846.35, 2,769.55 and 579.92

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Solution

The fourth proportional to 1,846.35, 2,769.55 and 579.92 is: 869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.35 : 2,769.55 = 579.92 : x
  2. Step 2: Convert to fraction form
    1,846.35/2,769.55 = 579.92/x
  3. Step 3: Cross multiply
    1,846.35x = 2,769.55 × 579.92
  4. Step 4: Simplify right side
    1,846.35x = 1,606,102.14
  5. Step 5: Solve for x
    x = 1,606,102.14/1,846.35
  6. Step 6: Final answer
    x = 869.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.