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Finding the Fourth Proportional to 2,086.05, 3,126.69 and 988.86

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Solution

The fourth proportional to 2,086.05, 3,126.69 and 988.86 is: 1,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.05 : 3,126.69 = 988.86 : x
  2. Step 2: Convert to fraction form
    2,086.05/3,126.69 = 988.86/x
  3. Step 3: Cross multiply
    2,086.05x = 3,126.69 × 988.86
  4. Step 4: Simplify right side
    2,086.05x = 3,091,858.67
  5. Step 5: Solve for x
    x = 3,091,858.67/2,086.05
  6. Step 6: Final answer
    x = 1,482.16

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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.