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Finding the Fourth Proportional to 1,649.04, 2,275.74 and 986.33

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Solution

The fourth proportional to 1,649.04, 2,275.74 and 986.33 is: 1,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.04 : 2,275.74 = 986.33 : x
  2. Step 2: Convert to fraction form
    1,649.04/2,275.74 = 986.33/x
  3. Step 3: Cross multiply
    1,649.04x = 2,275.74 × 986.33
  4. Step 4: Simplify right side
    1,649.04x = 2,244,619.26
  5. Step 5: Solve for x
    x = 2,244,619.26/1,649.04
  6. Step 6: Final answer
    x = 1,361.17

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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.