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Finding the Fourth Proportional to 2,088.09, 3,131.60 and 990.27

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Solution

The fourth proportional to 2,088.09, 3,131.60 and 990.27 is: 1,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.09 : 3,131.60 = 990.27 : x
  2. Step 2: Convert to fraction form
    2,088.09/3,131.60 = 990.27/x
  3. Step 3: Cross multiply
    2,088.09x = 3,131.60 × 990.27
  4. Step 4: Simplify right side
    2,088.09x = 3,101,124.58
  5. Step 5: Solve for x
    x = 3,101,124.58/2,088.09
  6. Step 6: Final answer
    x = 1,485.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.