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Finding the Fourth Proportional to 1,974.96, 2,962.43 and 514.11

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Solution

The fourth proportional to 1,974.96, 2,962.43 and 514.11 is: 771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.96 : 2,962.43 = 514.11 : x
  2. Step 2: Convert to fraction form
    1,974.96/2,962.43 = 514.11/x
  3. Step 3: Cross multiply
    1,974.96x = 2,962.43 × 514.11
  4. Step 4: Simplify right side
    1,974.96x = 1,523,019.88
  5. Step 5: Solve for x
    x = 1,523,019.88/1,974.96
  6. Step 6: Final answer
    x = 771.16

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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.