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Finding the Fourth Proportional to 2,220.75, 3,065.00 and 1,289.79

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Solution

The fourth proportional to 2,220.75, 3,065.00 and 1,289.79 is: 1,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.75 : 3,065.00 = 1,289.79 : x
  2. Step 2: Convert to fraction form
    2,220.75/3,065.00 = 1,289.79/x
  3. Step 3: Cross multiply
    2,220.75x = 3,065.00 × 1,289.79
  4. Step 4: Simplify right side
    2,220.75x = 3,953,199.90
  5. Step 5: Solve for x
    x = 3,953,199.90/2,220.75
  6. Step 6: Final answer
    x = 1,780.12

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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.