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Finding the Fourth Proportional to 2,174.90, 3,262.53 and 858.57

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Solution

The fourth proportional to 2,174.90, 3,262.53 and 858.57 is: 1,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.90 : 3,262.53 = 858.57 : x
  2. Step 2: Convert to fraction form
    2,174.90/3,262.53 = 858.57/x
  3. Step 3: Cross multiply
    2,174.90x = 3,262.53 × 858.57
  4. Step 4: Simplify right side
    2,174.90x = 2,801,096.54
  5. Step 5: Solve for x
    x = 2,801,096.54/2,174.90
  6. Step 6: Final answer
    x = 1,287.92

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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.