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Finding the Fourth Proportional to 2,084.73, 3,125.97 and 988.53

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Solution

The fourth proportional to 2,084.73, 3,125.97 and 988.53 is: 1,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.73 : 3,125.97 = 988.53 : x
  2. Step 2: Convert to fraction form
    2,084.73/3,125.97 = 988.53/x
  3. Step 3: Cross multiply
    2,084.73x = 3,125.97 × 988.53
  4. Step 4: Simplify right side
    2,084.73x = 3,090,115.12
  5. Step 5: Solve for x
    x = 3,090,115.12/2,084.73
  6. Step 6: Final answer
    x = 1,482.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.