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Finding the Fourth Proportional to 1,549.67, 2,324.19 and 1,291.34

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Solution

The fourth proportional to 1,549.67, 2,324.19 and 1,291.34 is: 1,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.67 : 2,324.19 = 1,291.34 : x
  2. Step 2: Convert to fraction form
    1,549.67/2,324.19 = 1,291.34/x
  3. Step 3: Cross multiply
    1,549.67x = 2,324.19 × 1,291.34
  4. Step 4: Simplify right side
    1,549.67x = 3,001,319.51
  5. Step 5: Solve for x
    x = 3,001,319.51/1,549.67
  6. Step 6: Final answer
    x = 1,936.75

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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.