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Finding the Fourth Proportional to 2,195.49, 3,029.26 and 1,605

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Solution

The fourth proportional to 2,195.49, 3,029.26 and 1,605 is: 2,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.49 : 3,029.26 = 1,605 : x
  2. Step 2: Convert to fraction form
    2,195.49/3,029.26 = 1,605/x
  3. Step 3: Cross multiply
    2,195.49x = 3,029.26 × 1,605
  4. Step 4: Simplify right side
    2,195.49x = 4,861,962.30
  5. Step 5: Solve for x
    x = 4,861,962.30/2,195.49
  6. Step 6: Final answer
    x = 2,214.52

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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.