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Finding the Fourth Proportional to 1,974.98, 2,962.64 and 514.14

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Solution

The fourth proportional to 1,974.98, 2,962.64 and 514.14 is: 771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.98 : 2,962.64 = 514.14 : x
  2. Step 2: Convert to fraction form
    1,974.98/2,962.64 = 514.14/x
  3. Step 3: Cross multiply
    1,974.98x = 2,962.64 × 514.14
  4. Step 4: Simplify right side
    1,974.98x = 1,523,196.92
  5. Step 5: Solve for x
    x = 1,523,196.92/1,974.98
  6. Step 6: Final answer
    x = 771.25

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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.