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Finding the Fourth Proportional to 2,975.32, 4,459.74 and 1,999

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Solution

The fourth proportional to 2,975.32, 4,459.74 and 1,999 is: 2,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.32 : 4,459.74 = 1,999 : x
  2. Step 2: Convert to fraction form
    2,975.32/4,459.74 = 1,999/x
  3. Step 3: Cross multiply
    2,975.32x = 4,459.74 × 1,999
  4. Step 4: Simplify right side
    2,975.32x = 8,915,020.26
  5. Step 5: Solve for x
    x = 8,915,020.26/2,975.32
  6. Step 6: Final answer
    x = 2,996.32

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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.