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Finding the Fourth Proportional to 1,649.91, 2,276.67 and 986.65

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Solution

The fourth proportional to 1,649.91, 2,276.67 and 986.65 is: 1,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.91 : 2,276.67 = 986.65 : x
  2. Step 2: Convert to fraction form
    1,649.91/2,276.67 = 986.65/x
  3. Step 3: Cross multiply
    1,649.91x = 2,276.67 × 986.65
  4. Step 4: Simplify right side
    1,649.91x = 2,246,276.46
  5. Step 5: Solve for x
    x = 2,246,276.46/1,649.91
  6. Step 6: Final answer
    x = 1,361.45

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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.