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Finding the Fourth Proportional to 2,576.86, 3,554.48 and 1,580.41

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Solution

The fourth proportional to 2,576.86, 3,554.48 and 1,580.41 is: 2,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.86 : 3,554.48 = 1,580.41 : x
  2. Step 2: Convert to fraction form
    2,576.86/3,554.48 = 1,580.41/x
  3. Step 3: Cross multiply
    2,576.86x = 3,554.48 × 1,580.41
  4. Step 4: Simplify right side
    2,576.86x = 5,617,544.13
  5. Step 5: Solve for x
    x = 5,617,544.13/2,576.86
  6. Step 6: Final answer
    x = 2,179.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.