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Finding the Fourth Proportional to 2,084.73, 3,125.47 and 990.42

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Solution

The fourth proportional to 2,084.73, 3,125.47 and 990.42 is: 1,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.73 : 3,125.47 = 990.42 : x
  2. Step 2: Convert to fraction form
    2,084.73/3,125.47 = 990.42/x
  3. Step 3: Cross multiply
    2,084.73x = 3,125.47 × 990.42
  4. Step 4: Simplify right side
    2,084.73x = 3,095,528.00
  5. Step 5: Solve for x
    x = 3,095,528.00/2,084.73
  6. Step 6: Final answer
    x = 1,484.86

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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.