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Finding the Fourth Proportional to 3,496.96, 4,824.93 and 2,080.27

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Solution

The fourth proportional to 3,496.96, 4,824.93 and 2,080.27 is: 2,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.96 : 4,824.93 = 2,080.27 : x
  2. Step 2: Convert to fraction form
    3,496.96/4,824.93 = 2,080.27/x
  3. Step 3: Cross multiply
    3,496.96x = 4,824.93 × 2,080.27
  4. Step 4: Simplify right side
    3,496.96x = 10,037,157.13
  5. Step 5: Solve for x
    x = 10,037,157.13/3,496.96
  6. Step 6: Final answer
    x = 2,870.25

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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.