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Finding the Fourth Proportional to 2,830.72, 4,246.01 and 750.73

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Solution

The fourth proportional to 2,830.72, 4,246.01 and 750.73 is: 1,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.72 : 4,246.01 = 750.73 : x
  2. Step 2: Convert to fraction form
    2,830.72/4,246.01 = 750.73/x
  3. Step 3: Cross multiply
    2,830.72x = 4,246.01 × 750.73
  4. Step 4: Simplify right side
    2,830.72x = 3,187,603.33
  5. Step 5: Solve for x
    x = 3,187,603.33/2,830.72
  6. Step 6: Final answer
    x = 1,126.08

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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.