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Finding the Fourth Proportional to 2,570.75, 3,546.82 and 1,575.53

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Solution

The fourth proportional to 2,570.75, 3,546.82 and 1,575.53 is: 2,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.75 : 3,546.82 = 1,575.53 : x
  2. Step 2: Convert to fraction form
    2,570.75/3,546.82 = 1,575.53/x
  3. Step 3: Cross multiply
    2,570.75x = 3,546.82 × 1,575.53
  4. Step 4: Simplify right side
    2,570.75x = 5,588,121.31
  5. Step 5: Solve for x
    x = 5,588,121.31/2,570.75
  6. Step 6: Final answer
    x = 2,173.73

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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.