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Finding the Fourth Proportional to 2,090.62, 3,135.99 and 1,165.66

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Solution

The fourth proportional to 2,090.62, 3,135.99 and 1,165.66 is: 1,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.62 : 3,135.99 = 1,165.66 : x
  2. Step 2: Convert to fraction form
    2,090.62/3,135.99 = 1,165.66/x
  3. Step 3: Cross multiply
    2,090.62x = 3,135.99 × 1,165.66
  4. Step 4: Simplify right side
    2,090.62x = 3,655,498.10
  5. Step 5: Solve for x
    x = 3,655,498.10/2,090.62
  6. Step 6: Final answer
    x = 1,748.52

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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.