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Finding the Fourth Proportional to 1,745.17, 2,618.16 and 512.58

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Solution

The fourth proportional to 1,745.17, 2,618.16 and 512.58 is: 768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.17 : 2,618.16 = 512.58 : x
  2. Step 2: Convert to fraction form
    1,745.17/2,618.16 = 512.58/x
  3. Step 3: Cross multiply
    1,745.17x = 2,618.16 × 512.58
  4. Step 4: Simplify right side
    1,745.17x = 1,342,016.45
  5. Step 5: Solve for x
    x = 1,342,016.45/1,745.17
  6. Step 6: Final answer
    x = 768.99

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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.