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Finding the Fourth Proportional to 2,164.65, 3,246.94 and 703.86

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Solution

The fourth proportional to 2,164.65, 3,246.94 and 703.86 is: 1,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.65 : 3,246.94 = 703.86 : x
  2. Step 2: Convert to fraction form
    2,164.65/3,246.94 = 703.86/x
  3. Step 3: Cross multiply
    2,164.65x = 3,246.94 × 703.86
  4. Step 4: Simplify right side
    2,164.65x = 2,285,391.19
  5. Step 5: Solve for x
    x = 2,285,391.19/2,164.65
  6. Step 6: Final answer
    x = 1,055.78

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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.