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Finding the Fourth Proportional to 3,323.84, 4,986.42 and 983.88

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Solution

The fourth proportional to 3,323.84, 4,986.42 and 983.88 is: 1,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.84 : 4,986.42 = 983.88 : x
  2. Step 2: Convert to fraction form
    3,323.84/4,986.42 = 983.88/x
  3. Step 3: Cross multiply
    3,323.84x = 4,986.42 × 983.88
  4. Step 4: Simplify right side
    3,323.84x = 4,906,038.91
  5. Step 5: Solve for x
    x = 4,906,038.91/3,323.84
  6. Step 6: Final answer
    x = 1,476.02

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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.