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Finding the Fourth Proportional to 1,784.28, 2,676.40 and 994.14

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Solution

The fourth proportional to 1,784.28, 2,676.40 and 994.14 is: 1,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.28 : 2,676.40 = 994.14 : x
  2. Step 2: Convert to fraction form
    1,784.28/2,676.40 = 994.14/x
  3. Step 3: Cross multiply
    1,784.28x = 2,676.40 × 994.14
  4. Step 4: Simplify right side
    1,784.28x = 2,660,716.30
  5. Step 5: Solve for x
    x = 2,660,716.30/1,784.28
  6. Step 6: Final answer
    x = 1,491.20

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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.