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Finding the Fourth Proportional to 2,983.42, 4,116.86 and 1,638.98

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Solution

The fourth proportional to 2,983.42, 4,116.86 and 1,638.98 is: 2,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.42 : 4,116.86 = 1,638.98 : x
  2. Step 2: Convert to fraction form
    2,983.42/4,116.86 = 1,638.98/x
  3. Step 3: Cross multiply
    2,983.42x = 4,116.86 × 1,638.98
  4. Step 4: Simplify right side
    2,983.42x = 6,747,476.38
  5. Step 5: Solve for x
    x = 6,747,476.38/2,983.42
  6. Step 6: Final answer
    x = 2,261.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.