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Finding the Fourth Proportional to 1,903.64, 2,625.28 and 1,195.56

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Solution

The fourth proportional to 1,903.64, 2,625.28 and 1,195.56 is: 1,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.64 : 2,625.28 = 1,195.56 : x
  2. Step 2: Convert to fraction form
    1,903.64/2,625.28 = 1,195.56/x
  3. Step 3: Cross multiply
    1,903.64x = 2,625.28 × 1,195.56
  4. Step 4: Simplify right side
    1,903.64x = 3,138,676.77
  5. Step 5: Solve for x
    x = 3,138,676.77/1,903.64
  6. Step 6: Final answer
    x = 1,648.78

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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.