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Finding the Fourth Proportional to 1,744.51, 2,613.23 and 864.36

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Solution

The fourth proportional to 1,744.51, 2,613.23 and 864.36 is: 1,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.51 : 2,613.23 = 864.36 : x
  2. Step 2: Convert to fraction form
    1,744.51/2,613.23 = 864.36/x
  3. Step 3: Cross multiply
    1,744.51x = 2,613.23 × 864.36
  4. Step 4: Simplify right side
    1,744.51x = 2,258,770.40
  5. Step 5: Solve for x
    x = 2,258,770.40/1,744.51
  6. Step 6: Final answer
    x = 1,294.79

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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.