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Finding the Fourth Proportional to 2,982, 4,473 and 1,158

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Solution

The fourth proportional to 2,982, 4,473 and 1,158 is: 1,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 4,473 = 1,158 : x
  2. Step 2: Convert to fraction form
    2,982/4,473 = 1,158/x
  3. Step 3: Cross multiply
    2,982x = 4,473 × 1,158
  4. Step 4: Simplify right side
    2,982x = 5,179,734
  5. Step 5: Solve for x
    x = 5,179,734/2,982
  6. Step 6: Final answer
    x = 1,737

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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.