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Finding the Fourth Proportional to 2,124.80, 3,189.22 and 1,304.67

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Solution

The fourth proportional to 2,124.80, 3,189.22 and 1,304.67 is: 1,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.80 : 3,189.22 = 1,304.67 : x
  2. Step 2: Convert to fraction form
    2,124.80/3,189.22 = 1,304.67/x
  3. Step 3: Cross multiply
    2,124.80x = 3,189.22 × 1,304.67
  4. Step 4: Simplify right side
    2,124.80x = 4,160,895.69
  5. Step 5: Solve for x
    x = 4,160,895.69/2,124.80
  6. Step 6: Final answer
    x = 1,958.25

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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.