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Finding the Fourth Proportional to 1,950.47, 2,924.96 and 700.73

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Solution

The fourth proportional to 1,950.47, 2,924.96 and 700.73 is: 1,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.47 : 2,924.96 = 700.73 : x
  2. Step 2: Convert to fraction form
    1,950.47/2,924.96 = 700.73/x
  3. Step 3: Cross multiply
    1,950.47x = 2,924.96 × 700.73
  4. Step 4: Simplify right side
    1,950.47x = 2,049,595.78
  5. Step 5: Solve for x
    x = 2,049,595.78/1,950.47
  6. Step 6: Final answer
    x = 1,050.82

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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.