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Finding the Fourth Proportional to 2,057.87, 2,836.99 and 1,741.88

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Solution

The fourth proportional to 2,057.87, 2,836.99 and 1,741.88 is: 2,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.87 : 2,836.99 = 1,741.88 : x
  2. Step 2: Convert to fraction form
    2,057.87/2,836.99 = 1,741.88/x
  3. Step 3: Cross multiply
    2,057.87x = 2,836.99 × 1,741.88
  4. Step 4: Simplify right side
    2,057.87x = 4,941,696.14
  5. Step 5: Solve for x
    x = 4,941,696.14/2,057.87
  6. Step 6: Final answer
    x = 2,401.36

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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.