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Finding the Fourth Proportional to 2,366.64, 3,265.09 and 1,422.09

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Solution

The fourth proportional to 2,366.64, 3,265.09 and 1,422.09 is: 1,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.64 : 3,265.09 = 1,422.09 : x
  2. Step 2: Convert to fraction form
    2,366.64/3,265.09 = 1,422.09/x
  3. Step 3: Cross multiply
    2,366.64x = 3,265.09 × 1,422.09
  4. Step 4: Simplify right side
    2,366.64x = 4,643,248.28
  5. Step 5: Solve for x
    x = 4,643,248.28/2,366.64
  6. Step 6: Final answer
    x = 1,961.96

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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.