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Finding the Fourth Proportional to 3,202.64, 4,410.12 and 2,970.32

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Solution

The fourth proportional to 3,202.64, 4,410.12 and 2,970.32 is: 4,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.64 : 4,410.12 = 2,970.32 : x
  2. Step 2: Convert to fraction form
    3,202.64/4,410.12 = 2,970.32/x
  3. Step 3: Cross multiply
    3,202.64x = 4,410.12 × 2,970.32
  4. Step 4: Simplify right side
    3,202.64x = 13,099,467.64
  5. Step 5: Solve for x
    x = 13,099,467.64/3,202.64
  6. Step 6: Final answer
    x = 4,090.21

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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.