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Finding the Fourth Proportional to 4,456, 6,684.38 and 1,169.08

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Solution

The fourth proportional to 4,456, 6,684.38 and 1,169.08 is: 1,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456 : 6,684.38 = 1,169.08 : x
  2. Step 2: Convert to fraction form
    4,456/6,684.38 = 1,169.08/x
  3. Step 3: Cross multiply
    4,456x = 6,684.38 × 1,169.08
  4. Step 4: Simplify right side
    4,456x = 7,814,574.97
  5. Step 5: Solve for x
    x = 7,814,574.97/4,456
  6. Step 6: Final answer
    x = 1,753.72

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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.