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Finding the Fourth Proportional to 3,093.84, 4,640.58 and 785.34

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Solution

The fourth proportional to 3,093.84, 4,640.58 and 785.34 is: 1,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.84 : 4,640.58 = 785.34 : x
  2. Step 2: Convert to fraction form
    3,093.84/4,640.58 = 785.34/x
  3. Step 3: Cross multiply
    3,093.84x = 4,640.58 × 785.34
  4. Step 4: Simplify right side
    3,093.84x = 3,644,433.10
  5. Step 5: Solve for x
    x = 3,644,433.10/3,093.84
  6. Step 6: Final answer
    x = 1,177.96

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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.