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Finding the Fourth Proportional to 2,842.14, 4,262.73 and 894.06

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Solution

The fourth proportional to 2,842.14, 4,262.73 and 894.06 is: 1,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.14 : 4,262.73 = 894.06 : x
  2. Step 2: Convert to fraction form
    2,842.14/4,262.73 = 894.06/x
  3. Step 3: Cross multiply
    2,842.14x = 4,262.73 × 894.06
  4. Step 4: Simplify right side
    2,842.14x = 3,811,136.38
  5. Step 5: Solve for x
    x = 3,811,136.38/2,842.14
  6. Step 6: Final answer
    x = 1,340.94

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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.