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Finding the Fourth Proportional to 1,603.98, 2,209.08 and 1,382.85

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Solution

The fourth proportional to 1,603.98, 2,209.08 and 1,382.85 is: 1,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.98 : 2,209.08 = 1,382.85 : x
  2. Step 2: Convert to fraction form
    1,603.98/2,209.08 = 1,382.85/x
  3. Step 3: Cross multiply
    1,603.98x = 2,209.08 × 1,382.85
  4. Step 4: Simplify right side
    1,603.98x = 3,054,826.28
  5. Step 5: Solve for x
    x = 3,054,826.28/1,603.98
  6. Step 6: Final answer
    x = 1,904.53

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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.