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Finding the Fourth Proportional to 1,900.93, 2,843.90 and 1,440.04

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Solution

The fourth proportional to 1,900.93, 2,843.90 and 1,440.04 is: 2,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.93 : 2,843.90 = 1,440.04 : x
  2. Step 2: Convert to fraction form
    1,900.93/2,843.90 = 1,440.04/x
  3. Step 3: Cross multiply
    1,900.93x = 2,843.90 × 1,440.04
  4. Step 4: Simplify right side
    1,900.93x = 4,095,329.76
  5. Step 5: Solve for x
    x = 4,095,329.76/1,900.93
  6. Step 6: Final answer
    x = 2,154.38

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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.