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Finding the Fourth Proportional to 1,576.23, 2,360.75 and 755.09

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Solution

The fourth proportional to 1,576.23, 2,360.75 and 755.09 is: 1,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.23 : 2,360.75 = 755.09 : x
  2. Step 2: Convert to fraction form
    1,576.23/2,360.75 = 755.09/x
  3. Step 3: Cross multiply
    1,576.23x = 2,360.75 × 755.09
  4. Step 4: Simplify right side
    1,576.23x = 1,782,571.99
  5. Step 5: Solve for x
    x = 1,782,571.99/1,576.23
  6. Step 6: Final answer
    x = 1,130.91

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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.