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Finding the Fourth Proportional to 2,575.26, 3,553.02 and 1,580.04

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Solution

The fourth proportional to 2,575.26, 3,553.02 and 1,580.04 is: 2,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.26 : 3,553.02 = 1,580.04 : x
  2. Step 2: Convert to fraction form
    2,575.26/3,553.02 = 1,580.04/x
  3. Step 3: Cross multiply
    2,575.26x = 3,553.02 × 1,580.04
  4. Step 4: Simplify right side
    2,575.26x = 5,613,913.72
  5. Step 5: Solve for x
    x = 5,613,913.72/2,575.26
  6. Step 6: Final answer
    x = 2,179.94

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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.