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Finding the Fourth Proportional to 3,063.64, 4,596.02 and 984.17

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Solution

The fourth proportional to 3,063.64, 4,596.02 and 984.17 is: 1,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.64 : 4,596.02 = 984.17 : x
  2. Step 2: Convert to fraction form
    3,063.64/4,596.02 = 984.17/x
  3. Step 3: Cross multiply
    3,063.64x = 4,596.02 × 984.17
  4. Step 4: Simplify right side
    3,063.64x = 4,523,237.10
  5. Step 5: Solve for x
    x = 4,523,237.10/3,063.64
  6. Step 6: Final answer
    x = 1,476.43

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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.