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Finding the Fourth Proportional to 2,325, 3,208.14 and 1,330.32

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Solution

The fourth proportional to 2,325, 3,208.14 and 1,330.32 is: 1,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325 : 3,208.14 = 1,330.32 : x
  2. Step 2: Convert to fraction form
    2,325/3,208.14 = 1,330.32/x
  3. Step 3: Cross multiply
    2,325x = 3,208.14 × 1,330.32
  4. Step 4: Simplify right side
    2,325x = 4,267,852.80
  5. Step 5: Solve for x
    x = 4,267,852.80/2,325
  6. Step 6: Final answer
    x = 1,835.64

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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.