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Finding the Fourth Proportional to 3,063.84, 4,596.50 and 983.84

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Solution

The fourth proportional to 3,063.84, 4,596.50 and 983.84 is: 1,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.84 : 4,596.50 = 983.84 : x
  2. Step 2: Convert to fraction form
    3,063.84/4,596.50 = 983.84/x
  3. Step 3: Cross multiply
    3,063.84x = 4,596.50 × 983.84
  4. Step 4: Simplify right side
    3,063.84x = 4,522,220.56
  5. Step 5: Solve for x
    x = 4,522,220.56/3,063.84
  6. Step 6: Final answer
    x = 1,476.00

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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.