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Finding the Fourth Proportional to 2,003.68, 2,765.58 and 1,603.78

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Solution

The fourth proportional to 2,003.68, 2,765.58 and 1,603.78 is: 2,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.68 : 2,765.58 = 1,603.78 : x
  2. Step 2: Convert to fraction form
    2,003.68/2,765.58 = 1,603.78/x
  3. Step 3: Cross multiply
    2,003.68x = 2,765.58 × 1,603.78
  4. Step 4: Simplify right side
    2,003.68x = 4,435,381.89
  5. Step 5: Solve for x
    x = 4,435,381.89/2,003.68
  6. Step 6: Final answer
    x = 2,213.62

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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.