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Finding the Fourth Proportional to 3,208.48, 4,427.84 and 1,792.48

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Solution

The fourth proportional to 3,208.48, 4,427.84 and 1,792.48 is: 2,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.48 : 4,427.84 = 1,792.48 : x
  2. Step 2: Convert to fraction form
    3,208.48/4,427.84 = 1,792.48/x
  3. Step 3: Cross multiply
    3,208.48x = 4,427.84 × 1,792.48
  4. Step 4: Simplify right side
    3,208.48x = 7,936,814.64
  5. Step 5: Solve for x
    x = 7,936,814.64/3,208.48
  6. Step 6: Final answer
    x = 2,473.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.