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Finding the Fourth Proportional to 1,705.20, 2,572.26 and 1,633.20

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Solution

The fourth proportional to 1,705.20, 2,572.26 and 1,633.20 is: 2,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.20 : 2,572.26 = 1,633.20 : x
  2. Step 2: Convert to fraction form
    1,705.20/2,572.26 = 1,633.20/x
  3. Step 3: Cross multiply
    1,705.20x = 2,572.26 × 1,633.20
  4. Step 4: Simplify right side
    1,705.20x = 4,201,015.03
  5. Step 5: Solve for x
    x = 4,201,015.03/1,705.20
  6. Step 6: Final answer
    x = 2,463.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.