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Finding the Fourth Proportional to 1,649.75, 2,275.47 and 986.09

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Solution

The fourth proportional to 1,649.75, 2,275.47 and 986.09 is: 1,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.75 : 2,275.47 = 986.09 : x
  2. Step 2: Convert to fraction form
    1,649.75/2,275.47 = 986.09/x
  3. Step 3: Cross multiply
    1,649.75x = 2,275.47 × 986.09
  4. Step 4: Simplify right side
    1,649.75x = 2,243,806.83
  5. Step 5: Solve for x
    x = 2,243,806.83/1,649.75
  6. Step 6: Final answer
    x = 1,360.09

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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.