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Finding the Fourth Proportional to 2,073.03, 2,860.84 and 1,189.00

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Solution

The fourth proportional to 2,073.03, 2,860.84 and 1,189.00 is: 1,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.03 : 2,860.84 = 1,189.00 : x
  2. Step 2: Convert to fraction form
    2,073.03/2,860.84 = 1,189.00/x
  3. Step 3: Cross multiply
    2,073.03x = 2,860.84 × 1,189.00
  4. Step 4: Simplify right side
    2,073.03x = 3,401,537.13
  5. Step 5: Solve for x
    x = 3,401,537.13/2,073.03
  6. Step 6: Final answer
    x = 1,640.86

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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.