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Finding the Fourth Proportional to 2,356.29, 3,532.41 and 1,576.26

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Solution

The fourth proportional to 2,356.29, 3,532.41 and 1,576.26 is: 2,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.29 : 3,532.41 = 1,576.26 : x
  2. Step 2: Convert to fraction form
    2,356.29/3,532.41 = 1,576.26/x
  3. Step 3: Cross multiply
    2,356.29x = 3,532.41 × 1,576.26
  4. Step 4: Simplify right side
    2,356.29x = 5,567,996.59
  5. Step 5: Solve for x
    x = 5,567,996.59/2,356.29
  6. Step 6: Final answer
    x = 2,363.04

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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.