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Finding the Fourth Proportional to 1,900.10, 2,622.39 and 1,114.22

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Solution

The fourth proportional to 1,900.10, 2,622.39 and 1,114.22 is: 1,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.10 : 2,622.39 = 1,114.22 : x
  2. Step 2: Convert to fraction form
    1,900.10/2,622.39 = 1,114.22/x
  3. Step 3: Cross multiply
    1,900.10x = 2,622.39 × 1,114.22
  4. Step 4: Simplify right side
    1,900.10x = 2,921,919.39
  5. Step 5: Solve for x
    x = 2,921,919.39/1,900.10
  6. Step 6: Final answer
    x = 1,537.77

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