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Finding the Fourth Proportional to 2,189.00, 3,300 and 2,048.06

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Solution

The fourth proportional to 2,189.00, 3,300 and 2,048.06 is: 3,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.00 : 3,300 = 2,048.06 : x
  2. Step 2: Convert to fraction form
    2,189.00/3,300 = 2,048.06/x
  3. Step 3: Cross multiply
    2,189.00x = 3,300 × 2,048.06
  4. Step 4: Simplify right side
    2,189.00x = 6,758,581.50
  5. Step 5: Solve for x
    x = 6,758,581.50/2,189.00
  6. Step 6: Final answer
    x = 3,087.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.