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Finding the Fourth Proportional to 2,091.92, 3,137.80 and 631.03

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Solution

The fourth proportional to 2,091.92, 3,137.80 and 631.03 is: 946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.92 : 3,137.80 = 631.03 : x
  2. Step 2: Convert to fraction form
    2,091.92/3,137.80 = 631.03/x
  3. Step 3: Cross multiply
    2,091.92x = 3,137.80 × 631.03
  4. Step 4: Simplify right side
    2,091.92x = 1,980,048.28
  5. Step 5: Solve for x
    x = 1,980,048.28/2,091.92
  6. Step 6: Final answer
    x = 946.52

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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.