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Finding the Fourth Proportional to 2,128.74, 3,193.10 and 1,033.26

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Solution

The fourth proportional to 2,128.74, 3,193.10 and 1,033.26 is: 1,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.74 : 3,193.10 = 1,033.26 : x
  2. Step 2: Convert to fraction form
    2,128.74/3,193.10 = 1,033.26/x
  3. Step 3: Cross multiply
    2,128.74x = 3,193.10 × 1,033.26
  4. Step 4: Simplify right side
    2,128.74x = 3,299,321.99
  5. Step 5: Solve for x
    x = 3,299,321.99/2,128.74
  6. Step 6: Final answer
    x = 1,549.89

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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.