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Finding the Fourth Proportional to 2,167.36, 2,991.10 and 1,635.30

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Solution

The fourth proportional to 2,167.36, 2,991.10 and 1,635.30 is: 2,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.36 : 2,991.10 = 1,635.30 : x
  2. Step 2: Convert to fraction form
    2,167.36/2,991.10 = 1,635.30/x
  3. Step 3: Cross multiply
    2,167.36x = 2,991.10 × 1,635.30
  4. Step 4: Simplify right side
    2,167.36x = 4,891,341.74
  5. Step 5: Solve for x
    x = 4,891,341.74/2,167.36
  6. Step 6: Final answer
    x = 2,256.82

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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.