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Finding the Fourth Proportional to 1,550.24, 2,137.86 and 990.88

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Solution

The fourth proportional to 1,550.24, 2,137.86 and 990.88 is: 1,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.24 : 2,137.86 = 990.88 : x
  2. Step 2: Convert to fraction form
    1,550.24/2,137.86 = 990.88/x
  3. Step 3: Cross multiply
    1,550.24x = 2,137.86 × 990.88
  4. Step 4: Simplify right side
    1,550.24x = 2,118,369.40
  5. Step 5: Solve for x
    x = 2,118,369.40/1,550.24
  6. Step 6: Final answer
    x = 1,366.48

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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.