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Finding the Fourth Proportional to 2,094.06, 3,140.17 and 632.87

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Solution

The fourth proportional to 2,094.06, 3,140.17 and 632.87 is: 949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.06 : 3,140.17 = 632.87 : x
  2. Step 2: Convert to fraction form
    2,094.06/3,140.17 = 632.87/x
  3. Step 3: Cross multiply
    2,094.06x = 3,140.17 × 632.87
  4. Step 4: Simplify right side
    2,094.06x = 1,987,319.39
  5. Step 5: Solve for x
    x = 1,987,319.39/2,094.06
  6. Step 6: Final answer
    x = 949.03

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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.