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Finding the Fourth Proportional to 3,094.60, 4,641.94 and 786.04

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Solution

The fourth proportional to 3,094.60, 4,641.94 and 786.04 is: 1,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.60 : 4,641.94 = 786.04 : x
  2. Step 2: Convert to fraction form
    3,094.60/4,641.94 = 786.04/x
  3. Step 3: Cross multiply
    3,094.60x = 4,641.94 × 786.04
  4. Step 4: Simplify right side
    3,094.60x = 3,648,750.52
  5. Step 5: Solve for x
    x = 3,648,750.52/3,094.60
  6. Step 6: Final answer
    x = 1,179.07

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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.