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Finding the Fourth Proportional to 2,687.59, 3,709.56 and 2,090.08

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Solution

The fourth proportional to 2,687.59, 3,709.56 and 2,090.08 is: 2,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.59 : 3,709.56 = 2,090.08 : x
  2. Step 2: Convert to fraction form
    2,687.59/3,709.56 = 2,090.08/x
  3. Step 3: Cross multiply
    2,687.59x = 3,709.56 × 2,090.08
  4. Step 4: Simplify right side
    2,687.59x = 7,753,277.16
  5. Step 5: Solve for x
    x = 7,753,277.16/2,687.59
  6. Step 6: Final answer
    x = 2,884.84

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1.5x scale

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.