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Finding the Fourth Proportional to 2,943.84, 4,416.30 and 1,211.52

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Solution

The fourth proportional to 2,943.84, 4,416.30 and 1,211.52 is: 1,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.84 : 4,416.30 = 1,211.52 : x
  2. Step 2: Convert to fraction form
    2,943.84/4,416.30 = 1,211.52/x
  3. Step 3: Cross multiply
    2,943.84x = 4,416.30 × 1,211.52
  4. Step 4: Simplify right side
    2,943.84x = 5,350,435.78
  5. Step 5: Solve for x
    x = 5,350,435.78/2,943.84
  6. Step 6: Final answer
    x = 1,817.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.