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Finding the Fourth Proportional to 2,090.56, 3,135.04 and 994.08

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Solution

The fourth proportional to 2,090.56, 3,135.04 and 994.08 is: 1,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.56 : 3,135.04 = 994.08 : x
  2. Step 2: Convert to fraction form
    2,090.56/3,135.04 = 994.08/x
  3. Step 3: Cross multiply
    2,090.56x = 3,135.04 × 994.08
  4. Step 4: Simplify right side
    2,090.56x = 3,116,480.56
  5. Step 5: Solve for x
    x = 3,116,480.56/2,090.56
  6. Step 6: Final answer
    x = 1,490.74

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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.