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Finding the Fourth Proportional to 2,084.17, 3,127.61 and 989.77

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Solution

The fourth proportional to 2,084.17, 3,127.61 and 989.77 is: 1,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.17 : 3,127.61 = 989.77 : x
  2. Step 2: Convert to fraction form
    2,084.17/3,127.61 = 989.77/x
  3. Step 3: Cross multiply
    2,084.17x = 3,127.61 × 989.77
  4. Step 4: Simplify right side
    2,084.17x = 3,095,614.55
  5. Step 5: Solve for x
    x = 3,095,614.55/2,084.17
  6. Step 6: Final answer
    x = 1,485.30

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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.