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Finding the Fourth Proportional to 1,752.01, 2,617.84 and 1,327.06

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Solution

The fourth proportional to 1,752.01, 2,617.84 and 1,327.06 is: 1,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.01 : 2,617.84 = 1,327.06 : x
  2. Step 2: Convert to fraction form
    1,752.01/2,617.84 = 1,327.06/x
  3. Step 3: Cross multiply
    1,752.01x = 2,617.84 × 1,327.06
  4. Step 4: Simplify right side
    1,752.01x = 3,474,035.68
  5. Step 5: Solve for x
    x = 3,474,035.68/1,752.01
  6. Step 6: Final answer
    x = 1,982.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.