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Finding the Fourth Proportional to 2,141.57, 3,209.88 and 984.89

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Solution

The fourth proportional to 2,141.57, 3,209.88 and 984.89 is: 1,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.57 : 3,209.88 = 984.89 : x
  2. Step 2: Convert to fraction form
    2,141.57/3,209.88 = 984.89/x
  3. Step 3: Cross multiply
    2,141.57x = 3,209.88 × 984.89
  4. Step 4: Simplify right side
    2,141.57x = 3,161,378.71
  5. Step 5: Solve for x
    x = 3,161,378.71/2,141.57
  6. Step 6: Final answer
    x = 1,476.20

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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.