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Finding the Fourth Proportional to 2,130.63, 3,196.41 and 899.09

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Solution

The fourth proportional to 2,130.63, 3,196.41 and 899.09 is: 1,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.63 : 3,196.41 = 899.09 : x
  2. Step 2: Convert to fraction form
    2,130.63/3,196.41 = 899.09/x
  3. Step 3: Cross multiply
    2,130.63x = 3,196.41 × 899.09
  4. Step 4: Simplify right side
    2,130.63x = 2,873,860.27
  5. Step 5: Solve for x
    x = 2,873,860.27/2,130.63
  6. Step 6: Final answer
    x = 1,348.83

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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.