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Finding the Fourth Proportional to 2,890.88, 3,989.76 and 1,649.12

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Solution

The fourth proportional to 2,890.88, 3,989.76 and 1,649.12 is: 2,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.88 : 3,989.76 = 1,649.12 : x
  2. Step 2: Convert to fraction form
    2,890.88/3,989.76 = 1,649.12/x
  3. Step 3: Cross multiply
    2,890.88x = 3,989.76 × 1,649.12
  4. Step 4: Simplify right side
    2,890.88x = 6,579,593.01
  5. Step 5: Solve for x
    x = 6,579,593.01/2,890.88
  6. Step 6: Final answer
    x = 2,275.98

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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.