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Finding the Fourth Proportional to 2,857.82, 3,943.76 and 1,598.94

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Solution

The fourth proportional to 2,857.82, 3,943.76 and 1,598.94 is: 2,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.82 : 3,943.76 = 1,598.94 : x
  2. Step 2: Convert to fraction form
    2,857.82/3,943.76 = 1,598.94/x
  3. Step 3: Cross multiply
    2,857.82x = 3,943.76 × 1,598.94
  4. Step 4: Simplify right side
    2,857.82x = 6,305,827.62
  5. Step 5: Solve for x
    x = 6,305,827.62/2,857.82
  6. Step 6: Final answer
    x = 2,206.52

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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.