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Finding the Fourth Proportional to 1,748.82, 2,412.09 and 1,189.11

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Solution

The fourth proportional to 1,748.82, 2,412.09 and 1,189.11 is: 1,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.82 : 2,412.09 = 1,189.11 : x
  2. Step 2: Convert to fraction form
    1,748.82/2,412.09 = 1,189.11/x
  3. Step 3: Cross multiply
    1,748.82x = 2,412.09 × 1,189.11
  4. Step 4: Simplify right side
    1,748.82x = 2,868,240.34
  5. Step 5: Solve for x
    x = 2,868,240.34/1,748.82
  6. Step 6: Final answer
    x = 1,640.10

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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.