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Finding the Fourth Proportional to 1,689.08, 2,331.24 and 990.50

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Solution

The fourth proportional to 1,689.08, 2,331.24 and 990.50 is: 1,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.08 : 2,331.24 = 990.50 : x
  2. Step 2: Convert to fraction form
    1,689.08/2,331.24 = 990.50/x
  3. Step 3: Cross multiply
    1,689.08x = 2,331.24 × 990.50
  4. Step 4: Simplify right side
    1,689.08x = 2,309,093.22
  5. Step 5: Solve for x
    x = 2,309,093.22/1,689.08
  6. Step 6: Final answer
    x = 1,367.07

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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.