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Finding the Fourth Proportional to 3,094.36, 4,641.42 and 785.92

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Solution

The fourth proportional to 3,094.36, 4,641.42 and 785.92 is: 1,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.36 : 4,641.42 = 785.92 : x
  2. Step 2: Convert to fraction form
    3,094.36/4,641.42 = 785.92/x
  3. Step 3: Cross multiply
    3,094.36x = 4,641.42 × 785.92
  4. Step 4: Simplify right side
    3,094.36x = 3,647,784.81
  5. Step 5: Solve for x
    x = 3,647,784.81/3,094.36
  6. Step 6: Final answer
    x = 1,178.85

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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.