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Finding the Fourth Proportional to 1,649.67, 2,474.58 and 918.69

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Solution

The fourth proportional to 1,649.67, 2,474.58 and 918.69 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.67 : 2,474.58 = 918.69 : x
  2. Step 2: Convert to fraction form
    1,649.67/2,474.58 = 918.69/x
  3. Step 3: Cross multiply
    1,649.67x = 2,474.58 × 918.69
  4. Step 4: Simplify right side
    1,649.67x = 2,273,371.90
  5. Step 5: Solve for x
    x = 2,273,371.90/1,649.67
  6. Step 6: Final answer
    x = 1,378.08

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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.