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Finding the Fourth Proportional to 1,745.76, 2,618.58 and 649.46

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Solution

The fourth proportional to 1,745.76, 2,618.58 and 649.46 is: 974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.76 : 2,618.58 = 649.46 : x
  2. Step 2: Convert to fraction form
    1,745.76/2,618.58 = 649.46/x
  3. Step 3: Cross multiply
    1,745.76x = 2,618.58 × 649.46
  4. Step 4: Simplify right side
    1,745.76x = 1,700,662.97
  5. Step 5: Solve for x
    x = 1,700,662.97/1,745.76
  6. Step 6: Final answer
    x = 974.17

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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.