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Finding the Fourth Proportional to 1,974.53, 2,962.16 and 820.25

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Solution

The fourth proportional to 1,974.53, 2,962.16 and 820.25 is: 1,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.53 : 2,962.16 = 820.25 : x
  2. Step 2: Convert to fraction form
    1,974.53/2,962.16 = 820.25/x
  3. Step 3: Cross multiply
    1,974.53x = 2,962.16 × 820.25
  4. Step 4: Simplify right side
    1,974.53x = 2,429,707.64
  5. Step 5: Solve for x
    x = 2,429,707.64/1,974.53
  6. Step 6: Final answer
    x = 1,230.52

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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.