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Finding the Fourth Proportional to 2,842.06, 4,263.09 and 992.68

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Solution

The fourth proportional to 2,842.06, 4,263.09 and 992.68 is: 1,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.06 : 4,263.09 = 992.68 : x
  2. Step 2: Convert to fraction form
    2,842.06/4,263.09 = 992.68/x
  3. Step 3: Cross multiply
    2,842.06x = 4,263.09 × 992.68
  4. Step 4: Simplify right side
    2,842.06x = 4,231,884.18
  5. Step 5: Solve for x
    x = 4,231,884.18/2,842.06
  6. Step 6: Final answer
    x = 1,489.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.