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Finding the Fourth Proportional to 2,084.96, 3,127.17 and 990.02

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Solution

The fourth proportional to 2,084.96, 3,127.17 and 990.02 is: 1,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.96 : 3,127.17 = 990.02 : x
  2. Step 2: Convert to fraction form
    2,084.96/3,127.17 = 990.02/x
  3. Step 3: Cross multiply
    2,084.96x = 3,127.17 × 990.02
  4. Step 4: Simplify right side
    2,084.96x = 3,095,960.84
  5. Step 5: Solve for x
    x = 3,095,960.84/2,084.96
  6. Step 6: Final answer
    x = 1,484.90

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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.