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Finding the Fourth Proportional to 2,174.42, 3,262.23 and 714.59

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Solution

The fourth proportional to 2,174.42, 3,262.23 and 714.59 is: 1,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.42 : 3,262.23 = 714.59 : x
  2. Step 2: Convert to fraction form
    2,174.42/3,262.23 = 714.59/x
  3. Step 3: Cross multiply
    2,174.42x = 3,262.23 × 714.59
  4. Step 4: Simplify right side
    2,174.42x = 2,331,167.77
  5. Step 5: Solve for x
    x = 2,331,167.77/2,174.42
  6. Step 6: Final answer
    x = 1,072.09

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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.