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Finding the Fourth Proportional to 2,842.51, 4,264.77 and 994.14

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Solution

The fourth proportional to 2,842.51, 4,264.77 and 994.14 is: 1,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.51 : 4,264.77 = 994.14 : x
  2. Step 2: Convert to fraction form
    2,842.51/4,264.77 = 994.14/x
  3. Step 3: Cross multiply
    2,842.51x = 4,264.77 × 994.14
  4. Step 4: Simplify right side
    2,842.51x = 4,239,757.12
  5. Step 5: Solve for x
    x = 4,239,757.12/2,842.51
  6. Step 6: Final answer
    x = 1,491.55

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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.