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Finding the Fourth Proportional to 2,090.92, 3,135.72 and 1,116.48

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Solution

The fourth proportional to 2,090.92, 3,135.72 and 1,116.48 is: 1,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.92 : 3,135.72 = 1,116.48 : x
  2. Step 2: Convert to fraction form
    2,090.92/3,135.72 = 1,116.48/x
  3. Step 3: Cross multiply
    2,090.92x = 3,135.72 × 1,116.48
  4. Step 4: Simplify right side
    2,090.92x = 3,500,968.67
  5. Step 5: Solve for x
    x = 3,500,968.67/2,090.92
  6. Step 6: Final answer
    x = 1,674.37

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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.