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Finding the Fourth Proportional to 1,784.56, 2,676.62 and 784.33

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Solution

The fourth proportional to 1,784.56, 2,676.62 and 784.33 is: 1,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.56 : 2,676.62 = 784.33 : x
  2. Step 2: Convert to fraction form
    1,784.56/2,676.62 = 784.33/x
  3. Step 3: Cross multiply
    1,784.56x = 2,676.62 × 784.33
  4. Step 4: Simplify right side
    1,784.56x = 2,099,348.63
  5. Step 5: Solve for x
    x = 2,099,348.63/1,784.56
  6. Step 6: Final answer
    x = 1,176.40

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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.