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Finding the Fourth Proportional to 2,829.60, 4,236.30 and 2,505.60

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Solution

The fourth proportional to 2,829.60, 4,236.30 and 2,505.60 is: 3,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.60 : 4,236.30 = 2,505.60 : x
  2. Step 2: Convert to fraction form
    2,829.60/4,236.30 = 2,505.60/x
  3. Step 3: Cross multiply
    2,829.60x = 4,236.30 × 2,505.60
  4. Step 4: Simplify right side
    2,829.60x = 10,614,473.28
  5. Step 5: Solve for x
    x = 10,614,473.28/2,829.60
  6. Step 6: Final answer
    x = 3,751.23

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1.5x scale

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.