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Finding the Fourth Proportional to 1,603.87, 2,403.30 and 1,082.02

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Solution

The fourth proportional to 1,603.87, 2,403.30 and 1,082.02 is: 1,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.87 : 2,403.30 = 1,082.02 : x
  2. Step 2: Convert to fraction form
    1,603.87/2,403.30 = 1,082.02/x
  3. Step 3: Cross multiply
    1,603.87x = 2,403.30 × 1,082.02
  4. Step 4: Simplify right side
    1,603.87x = 2,600,418.67
  5. Step 5: Solve for x
    x = 2,600,418.67/1,603.87
  6. Step 6: Final answer
    x = 1,621.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.