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Finding the Fourth Proportional to 3,093.66, 4,640.49 and 753.65

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Solution

The fourth proportional to 3,093.66, 4,640.49 and 753.65 is: 1,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.66 : 4,640.49 = 753.65 : x
  2. Step 2: Convert to fraction form
    3,093.66/4,640.49 = 753.65/x
  3. Step 3: Cross multiply
    3,093.66x = 4,640.49 × 753.65
  4. Step 4: Simplify right side
    3,093.66x = 3,497,305.29
  5. Step 5: Solve for x
    x = 3,497,305.29/3,093.66
  6. Step 6: Final answer
    x = 1,130.48

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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.