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Finding the Fourth Proportional to 2,533.44, 3,495.82 and 1,414.44

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Solution

The fourth proportional to 2,533.44, 3,495.82 and 1,414.44 is: 1,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.44 : 3,495.82 = 1,414.44 : x
  2. Step 2: Convert to fraction form
    2,533.44/3,495.82 = 1,414.44/x
  3. Step 3: Cross multiply
    2,533.44x = 3,495.82 × 1,414.44
  4. Step 4: Simplify right side
    2,533.44x = 4,944,627.64
  5. Step 5: Solve for x
    x = 4,944,627.64/2,533.44
  6. Step 6: Final answer
    x = 1,951.74

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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.