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Finding the Fourth Proportional to 1,603.80, 2,402.46 and 1,171.26

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Solution

The fourth proportional to 1,603.80, 2,402.46 and 1,171.26 is: 1,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.80 : 2,402.46 = 1,171.26 : x
  2. Step 2: Convert to fraction form
    1,603.80/2,402.46 = 1,171.26/x
  3. Step 3: Cross multiply
    1,603.80x = 2,402.46 × 1,171.26
  4. Step 4: Simplify right side
    1,603.80x = 2,813,905.30
  5. Step 5: Solve for x
    x = 2,813,905.30/1,603.80
  6. Step 6: Final answer
    x = 1,754.52

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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.