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Finding the Fourth Proportional to 1,924.73, 2,886.99 and 950.50

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Solution

The fourth proportional to 1,924.73, 2,886.99 and 950.50 is: 1,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.73 : 2,886.99 = 950.50 : x
  2. Step 2: Convert to fraction form
    1,924.73/2,886.99 = 950.50/x
  3. Step 3: Cross multiply
    1,924.73x = 2,886.99 × 950.50
  4. Step 4: Simplify right side
    1,924.73x = 2,744,084.00
  5. Step 5: Solve for x
    x = 2,744,084.00/1,924.73
  6. Step 6: Final answer
    x = 1,425.70

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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.