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Finding the Fourth Proportional to 2,087.06, 3,130.94 and 990.84

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Solution

The fourth proportional to 2,087.06, 3,130.94 and 990.84 is: 1,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.06 : 3,130.94 = 990.84 : x
  2. Step 2: Convert to fraction form
    2,087.06/3,130.94 = 990.84/x
  3. Step 3: Cross multiply
    2,087.06x = 3,130.94 × 990.84
  4. Step 4: Simplify right side
    2,087.06x = 3,102,260.59
  5. Step 5: Solve for x
    x = 3,102,260.59/2,087.06
  6. Step 6: Final answer
    x = 1,486.43

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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.