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Finding the Fourth Proportional to 1,586.09, 2,380.17 and 720.41

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Solution

The fourth proportional to 1,586.09, 2,380.17 and 720.41 is: 1,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.09 : 2,380.17 = 720.41 : x
  2. Step 2: Convert to fraction form
    1,586.09/2,380.17 = 720.41/x
  3. Step 3: Cross multiply
    1,586.09x = 2,380.17 × 720.41
  4. Step 4: Simplify right side
    1,586.09x = 1,714,698.27
  5. Step 5: Solve for x
    x = 1,714,698.27/1,586.09
  6. Step 6: Final answer
    x = 1,081.09

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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.