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Finding the Fourth Proportional to 1,974.87, 2,962.08 and 513.99

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Solution

The fourth proportional to 1,974.87, 2,962.08 and 513.99 is: 770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.87 : 2,962.08 = 513.99 : x
  2. Step 2: Convert to fraction form
    1,974.87/2,962.08 = 513.99/x
  3. Step 3: Cross multiply
    1,974.87x = 2,962.08 × 513.99
  4. Step 4: Simplify right side
    1,974.87x = 1,522,479.50
  5. Step 5: Solve for x
    x = 1,522,479.50/1,974.87
  6. Step 6: Final answer
    x = 770.93

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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.