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Finding the Fourth Proportional to 2,595, 3,581.10 and 1,932.42

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Solution

The fourth proportional to 2,595, 3,581.10 and 1,932.42 is: 2,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595 : 3,581.10 = 1,932.42 : x
  2. Step 2: Convert to fraction form
    2,595/3,581.10 = 1,932.42/x
  3. Step 3: Cross multiply
    2,595x = 3,581.10 × 1,932.42
  4. Step 4: Simplify right side
    2,595x = 6,920,189.26
  5. Step 5: Solve for x
    x = 6,920,189.26/2,595
  6. Step 6: Final answer
    x = 2,666.74

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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.