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Finding the Fourth Proportional to 2,088.12, 3,131.90 and 993.18

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Solution

The fourth proportional to 2,088.12, 3,131.90 and 993.18 is: 1,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.12 : 3,131.90 = 993.18 : x
  2. Step 2: Convert to fraction form
    2,088.12/3,131.90 = 993.18/x
  3. Step 3: Cross multiply
    2,088.12x = 3,131.90 × 993.18
  4. Step 4: Simplify right side
    2,088.12x = 3,110,533.04
  5. Step 5: Solve for x
    x = 3,110,533.04/2,088.12
  6. Step 6: Final answer
    x = 1,489.64

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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.