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Finding the Fourth Proportional to 1,900.38, 2,849.61 and 745.50

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Solution

The fourth proportional to 1,900.38, 2,849.61 and 745.50 is: 1,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.38 : 2,849.61 = 745.50 : x
  2. Step 2: Convert to fraction form
    1,900.38/2,849.61 = 745.50/x
  3. Step 3: Cross multiply
    1,900.38x = 2,849.61 × 745.50
  4. Step 4: Simplify right side
    1,900.38x = 2,124,384.26
  5. Step 5: Solve for x
    x = 2,124,384.26/1,900.38
  6. Step 6: Final answer
    x = 1,117.87

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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.