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Finding the Fourth Proportional to 2,086.58, 3,127.68 and 990.14

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Solution

The fourth proportional to 2,086.58, 3,127.68 and 990.14 is: 1,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.58 : 3,127.68 = 990.14 : x
  2. Step 2: Convert to fraction form
    2,086.58/3,127.68 = 990.14/x
  3. Step 3: Cross multiply
    2,086.58x = 3,127.68 × 990.14
  4. Step 4: Simplify right side
    2,086.58x = 3,096,841.08
  5. Step 5: Solve for x
    x = 3,096,841.08/2,086.58
  6. Step 6: Final answer
    x = 1,484.17

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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.