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Finding the Fourth Proportional to 3,267.60, 4,899.60 and 1,418.40

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Solution

The fourth proportional to 3,267.60, 4,899.60 and 1,418.40 is: 2,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.60 : 4,899.60 = 1,418.40 : x
  2. Step 2: Convert to fraction form
    3,267.60/4,899.60 = 1,418.40/x
  3. Step 3: Cross multiply
    3,267.60x = 4,899.60 × 1,418.40
  4. Step 4: Simplify right side
    3,267.60x = 6,949,592.64
  5. Step 5: Solve for x
    x = 6,949,592.64/3,267.60
  6. Step 6: Final answer
    x = 2,126.82

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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.