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Finding the Fourth Proportional to 2,857.93, 3,944.00 and 1,598.92

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Solution

The fourth proportional to 2,857.93, 3,944.00 and 1,598.92 is: 2,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.93 : 3,944.00 = 1,598.92 : x
  2. Step 2: Convert to fraction form
    2,857.93/3,944.00 = 1,598.92/x
  3. Step 3: Cross multiply
    2,857.93x = 3,944.00 × 1,598.92
  4. Step 4: Simplify right side
    2,857.93x = 6,306,134.62
  5. Step 5: Solve for x
    x = 6,306,134.62/2,857.93
  6. Step 6: Final answer
    x = 2,206.54

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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.