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Finding the Fourth Proportional to 1,586.25, 2,379.78 and 546.21

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Solution

The fourth proportional to 1,586.25, 2,379.78 and 546.21 is: 819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.25 : 2,379.78 = 546.21 : x
  2. Step 2: Convert to fraction form
    1,586.25/2,379.78 = 546.21/x
  3. Step 3: Cross multiply
    1,586.25x = 2,379.78 × 546.21
  4. Step 4: Simplify right side
    1,586.25x = 1,299,859.63
  5. Step 5: Solve for x
    x = 1,299,859.63/1,586.25
  6. Step 6: Final answer
    x = 819.45

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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.