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Finding the Fourth Proportional to 1,743.95, 2,616.15 and 511.44

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Solution

The fourth proportional to 1,743.95, 2,616.15 and 511.44 is: 767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.95 : 2,616.15 = 511.44 : x
  2. Step 2: Convert to fraction form
    1,743.95/2,616.15 = 511.44/x
  3. Step 3: Cross multiply
    1,743.95x = 2,616.15 × 511.44
  4. Step 4: Simplify right side
    1,743.95x = 1,338,003.76
  5. Step 5: Solve for x
    x = 1,338,003.76/1,743.95
  6. Step 6: Final answer
    x = 767.23

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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.