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Finding the Fourth Proportional to 2,088.05, 3,131.09 and 770.88

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Solution

The fourth proportional to 2,088.05, 3,131.09 and 770.88 is: 1,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.05 : 3,131.09 = 770.88 : x
  2. Step 2: Convert to fraction form
    2,088.05/3,131.09 = 770.88/x
  3. Step 3: Cross multiply
    2,088.05x = 3,131.09 × 770.88
  4. Step 4: Simplify right side
    2,088.05x = 2,413,705.44
  5. Step 5: Solve for x
    x = 2,413,705.44/2,088.05
  6. Step 6: Final answer
    x = 1,155.96

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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.