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Finding the Fourth Proportional to 2,174.94, 3,262.40 and 1,528.56

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Solution

The fourth proportional to 2,174.94, 3,262.40 and 1,528.56 is: 2,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.94 : 3,262.40 = 1,528.56 : x
  2. Step 2: Convert to fraction form
    2,174.94/3,262.40 = 1,528.56/x
  3. Step 3: Cross multiply
    2,174.94x = 3,262.40 × 1,528.56
  4. Step 4: Simplify right side
    2,174.94x = 4,986,774.14
  5. Step 5: Solve for x
    x = 4,986,774.14/2,174.94
  6. Step 6: Final answer
    x = 2,292.83

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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.