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Finding the Fourth Proportional to 1,974.64, 2,962.68 and 878.20

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Solution

The fourth proportional to 1,974.64, 2,962.68 and 878.20 is: 1,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.64 : 2,962.68 = 878.20 : x
  2. Step 2: Convert to fraction form
    1,974.64/2,962.68 = 878.20/x
  3. Step 3: Cross multiply
    1,974.64x = 2,962.68 × 878.20
  4. Step 4: Simplify right side
    1,974.64x = 2,601,825.58
  5. Step 5: Solve for x
    x = 2,601,825.58/1,974.64
  6. Step 6: Final answer
    x = 1,317.62

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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.