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Finding the Fourth Proportional to 1,744.11, 2,616.08 and 511.47

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Solution

The fourth proportional to 1,744.11, 2,616.08 and 511.47 is: 767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.11 : 2,616.08 = 511.47 : x
  2. Step 2: Convert to fraction form
    1,744.11/2,616.08 = 511.47/x
  3. Step 3: Cross multiply
    1,744.11x = 2,616.08 × 511.47
  4. Step 4: Simplify right side
    1,744.11x = 1,338,055.61
  5. Step 5: Solve for x
    x = 1,338,055.61/1,744.11
  6. Step 6: Final answer
    x = 767.19

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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.