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Finding the Fourth Proportional to 1,922.73, 2,883.99 and 948.50

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Solution

The fourth proportional to 1,922.73, 2,883.99 and 948.50 is: 1,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.73 : 2,883.99 = 948.50 : x
  2. Step 2: Convert to fraction form
    1,922.73/2,883.99 = 948.50/x
  3. Step 3: Cross multiply
    1,922.73x = 2,883.99 × 948.50
  4. Step 4: Simplify right side
    1,922.73x = 2,735,464.52
  5. Step 5: Solve for x
    x = 2,735,464.52/1,922.73
  6. Step 6: Final answer
    x = 1,422.70

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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.