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Finding the Fourth Proportional to 1,650.04, 2,276.91 and 986.78

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Solution

The fourth proportional to 1,650.04, 2,276.91 and 986.78 is: 1,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.04 : 2,276.91 = 986.78 : x
  2. Step 2: Convert to fraction form
    1,650.04/2,276.91 = 986.78/x
  3. Step 3: Cross multiply
    1,650.04x = 2,276.91 × 986.78
  4. Step 4: Simplify right side
    1,650.04x = 2,246,814.94
  5. Step 5: Solve for x
    x = 2,246,814.94/1,650.04
  6. Step 6: Final answer
    x = 1,361.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.