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Finding the Fourth Proportional to 2,084.10, 3,124.80 and 990.06

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Solution

The fourth proportional to 2,084.10, 3,124.80 and 990.06 is: 1,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.10 : 3,124.80 = 990.06 : x
  2. Step 2: Convert to fraction form
    2,084.10/3,124.80 = 990.06/x
  3. Step 3: Cross multiply
    2,084.10x = 3,124.80 × 990.06
  4. Step 4: Simplify right side
    2,084.10x = 3,093,739.49
  5. Step 5: Solve for x
    x = 3,093,739.49/2,084.10
  6. Step 6: Final answer
    x = 1,484.45

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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.