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Finding the Fourth Proportional to 1,900.32, 2,622.42 and 1,114.44

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Solution

The fourth proportional to 1,900.32, 2,622.42 and 1,114.44 is: 1,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.32 : 2,622.42 = 1,114.44 : x
  2. Step 2: Convert to fraction form
    1,900.32/2,622.42 = 1,114.44/x
  3. Step 3: Cross multiply
    1,900.32x = 2,622.42 × 1,114.44
  4. Step 4: Simplify right side
    1,900.32x = 2,922,529.74
  5. Step 5: Solve for x
    x = 2,922,529.74/1,900.32
  6. Step 6: Final answer
    x = 1,537.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.