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Finding the Fourth Proportional to 1,932.50, 2,901.14 and 1,830.44

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Solution

The fourth proportional to 1,932.50, 2,901.14 and 1,830.44 is: 2,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.50 : 2,901.14 = 1,830.44 : x
  2. Step 2: Convert to fraction form
    1,932.50/2,901.14 = 1,830.44/x
  3. Step 3: Cross multiply
    1,932.50x = 2,901.14 × 1,830.44
  4. Step 4: Simplify right side
    1,932.50x = 5,310,362.70
  5. Step 5: Solve for x
    x = 5,310,362.70/1,932.50
  6. Step 6: Final answer
    x = 2,747.92

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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.