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Finding the Fourth Proportional to 1,953.82, 2,932.31 and 1,029.95

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Solution

The fourth proportional to 1,953.82, 2,932.31 and 1,029.95 is: 1,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.82 : 2,932.31 = 1,029.95 : x
  2. Step 2: Convert to fraction form
    1,953.82/2,932.31 = 1,029.95/x
  3. Step 3: Cross multiply
    1,953.82x = 2,932.31 × 1,029.95
  4. Step 4: Simplify right side
    1,953.82x = 3,020,120.60
  5. Step 5: Solve for x
    x = 3,020,120.60/1,953.82
  6. Step 6: Final answer
    x = 1,545.75

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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.