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Finding the Fourth Proportional to 2,090.81, 2,884.51 and 1,334.88

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Solution

The fourth proportional to 2,090.81, 2,884.51 and 1,334.88 is: 1,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.81 : 2,884.51 = 1,334.88 : x
  2. Step 2: Convert to fraction form
    2,090.81/2,884.51 = 1,334.88/x
  3. Step 3: Cross multiply
    2,090.81x = 2,884.51 × 1,334.88
  4. Step 4: Simplify right side
    2,090.81x = 3,850,476.38
  5. Step 5: Solve for x
    x = 3,850,476.38/2,090.81
  6. Step 6: Final answer
    x = 1,841.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.