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Finding the Fourth Proportional to 1,775.34, 2,650.91 and 1,589.04

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Solution

The fourth proportional to 1,775.34, 2,650.91 and 1,589.04 is: 2,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.34 : 2,650.91 = 1,589.04 : x
  2. Step 2: Convert to fraction form
    1,775.34/2,650.91 = 1,589.04/x
  3. Step 3: Cross multiply
    1,775.34x = 2,650.91 × 1,589.04
  4. Step 4: Simplify right side
    1,775.34x = 4,212,394.08
  5. Step 5: Solve for x
    x = 4,212,394.08/1,775.34
  6. Step 6: Final answer
    x = 2,372.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.