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Finding the Fourth Proportional to 1,689.66, 2,331.59 and 991.04

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Solution

The fourth proportional to 1,689.66, 2,331.59 and 991.04 is: 1,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.66 : 2,331.59 = 991.04 : x
  2. Step 2: Convert to fraction form
    1,689.66/2,331.59 = 991.04/x
  3. Step 3: Cross multiply
    1,689.66x = 2,331.59 × 991.04
  4. Step 4: Simplify right side
    1,689.66x = 2,310,682.34
  5. Step 5: Solve for x
    x = 2,310,682.34/1,689.66
  6. Step 6: Final answer
    x = 1,367.54

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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.