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Finding the Fourth Proportional to 2,140.09, 3,209.91 and 580.03

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Solution

The fourth proportional to 2,140.09, 3,209.91 and 580.03 is: 869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.09 : 3,209.91 = 580.03 : x
  2. Step 2: Convert to fraction form
    2,140.09/3,209.91 = 580.03/x
  3. Step 3: Cross multiply
    2,140.09x = 3,209.91 × 580.03
  4. Step 4: Simplify right side
    2,140.09x = 1,861,844.10
  5. Step 5: Solve for x
    x = 1,861,844.10/2,140.09
  6. Step 6: Final answer
    x = 869.98

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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.