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Finding the Fourth Proportional to 2,190.88, 3,289.20 and 2,009.76

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Solution

The fourth proportional to 2,190.88, 3,289.20 and 2,009.76 is: 3,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.88 : 3,289.20 = 2,009.76 : x
  2. Step 2: Convert to fraction form
    2,190.88/3,289.20 = 2,009.76/x
  3. Step 3: Cross multiply
    2,190.88x = 3,289.20 × 2,009.76
  4. Step 4: Simplify right side
    2,190.88x = 6,610,502.59
  5. Step 5: Solve for x
    x = 6,610,502.59/2,190.88
  6. Step 6: Final answer
    x = 3,017.28

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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.